This Class sorts NodeList by attribute's value given the type of data (String, Integer, Double etc).
Here is the solution in full:
package mynewpackage;
// for the method
import java.lang.reflect.Constructor;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.List;
import org.w3c.dom.Element;
import org.w3c.dom.Node;
import org.w3c.dom.NodeList;
// for the test example
import org.xml.sax.InputSource;
import javax.xml.parsers.DocumentBuilder;
import javax.xml.parsers.DocumentBuilderFactory;
import java.io.StringReader;
import org.w3c.dom.Document;
import java.math.BigDecimal;
public class NodeTools {
    /**
     * Method sorts any NodeList by provided attribute.
     * @param nl NodeList to sort
     * @param attributeName attribute name to use
     * @param asc true - ascending, false - descending
     * @param B class must implement Comparable and have Constructor(String) - e.g. Integer.class , BigDecimal.class etc
     * @return Array of Nodes in required order
     */
    public static Node[] sortNodes(NodeList nl, String attributeName, boolean asc, Class<? extends Comparable> B)
    {        
        class NodeComparator<T> implements Comparator<T>
        {
            @Override
            public int compare(T a, T b)
            {
                int ret;
                Comparable bda = null, bdb = null;
                try{
                    Constructor bc = B.getDeclaredConstructor(String.class);
                    bda = (Comparable)bc.newInstance(((Element)a).getAttribute(attributeName));
                    bdb = (Comparable)bc.newInstance(((Element)b).getAttribute(attributeName));
                }
                catch(Exception e)
                {
                    return 0; // yes, ugly, i know :)
                }
                ret = bda.compareTo(bdb);
                return asc ? ret : -ret; 
            }
        }
        List<Node> x = new ArrayList<>();
        for(int i = 0; i < nl.getLength(); i++)
        {
            x.add(nl.item(i));
        }
        Node[] ret = new Node[x.size()];
        ret = x.toArray(ret);
        Arrays.sort(ret, new NodeComparator<Node>());
        return ret;
    }   
// Test with simple example 
    public static void main(String... args)
    {
        DocumentBuilderFactory factory = DocumentBuilderFactory.newInstance();  
        DocumentBuilder builder;
        String s = "<xml><item id=\"1\" price=\"100.00\" /><item id=\"3\" price=\"29.99\" /><item id=\"2\" price=\"5.10\" /></xml>";
        Document doc = null;
        try 
        {  
            builder = factory.newDocumentBuilder();  
            doc = builder.parse(new InputSource(new StringReader(s)));
        }
        catch(Exception e) { System.out.println("Alarm "+e); return; }
        System.out.println("*** Sort by id ***");
        Node[] ret = NodeTools.sortNodes(doc.getElementsByTagName("item"), "id", true, Integer.class);
        for(Node n: ret)
        {
            System.out.println(((Element)n).getAttribute("id")+" : "+((Element)n).getAttribute("price"));
        }
        System.out.println("*** Sort by price ***");
        ret = NodeTools.sortNodes(doc.getElementsByTagName("item"), "price", true, BigDecimal.class);
        for(Node n: ret)
        {
            System.out.println(((Element)n).getAttribute("id")+" : "+((Element)n).getAttribute("price"));
        }
    }
}
In my simple test it prints:
*** Sort by id ***
1 : 100.00
2 : 5.10
3 : 29.99
*** Sort by price ***
2 : 5.10
3 : 29.99
1 : 100.00