Expanding on Xeo's answer, here is a version which forwards its arguments:
#include <boost/mpl/if.hpp>
#include <cstddef>
#include <utility>
#include <iostream>
template<typename T, std::size_t Size>
struct array
{
    typedef T value_type;
    T buf[Size];
    constexpr std::size_t size() const { return Size; }
};
template<typename T>
struct array_size;
template<typename T, std::size_t Size>
struct array_size<array<T, Size>> {
    static constexpr std::size_t value = Size;
};
template <typename T>
using Bare =
    typename std::remove_cv<typename std::remove_reference<T>::type>::type;
template <typename T>
constexpr T&& forward(typename std::remove_reference<T>::type& t) noexcept {
    return static_cast<T&&>(t);
}
template<typename Array>
using CVValueType = typename boost::mpl::if_<
    std::is_const<Array>,
    typename boost::mpl::if_<
        std::is_volatile<Array>,
        typename Array::value_type const volatile,
        typename Array::value_type const>::type,
    typename boost::mpl::if_<
        std::is_volatile<Array>,
        typename Array::value_type volatile,
        typename Array::value_type>::type
>::type;
template<typename Array>
using ForwardType =
    typename boost::mpl::if_c<
        std::is_lvalue_reference<Array>::value,
        CVValueType<typename std::remove_reference<Array>::type>&,
        CVValueType<typename std::remove_reference<Array>::type>&&>::type;
template <typename Array>
constexpr ForwardType<Array> forward_element(
    CVValueType<typename std::remove_reference<Array>::type>& t) noexcept
{
    return static_cast<ForwardType<Array>>(t);
}
template <std::size_t... Is>
struct indices {};
template <std::size_t N, std::size_t... Is>
struct build_indices
  : build_indices<N-1, N-1, Is...> {};
template <std::size_t... Is>
struct build_indices<0, Is...> : indices<Is...> {};
template<typename Array>
using Enlarged =
    array<typename Bare<Array>::value_type, array_size<Bare<Array>>::value+1>;
template<typename Array, typename T, std::size_t... Is>
constexpr Enlarged<Array> push_back(Array&& arr, T&& val, indices<Is...>)
{
    return {{forward_element<Array>(arr.buf[Is])..., forward<T>(val)}};
}
template <typename Array, typename T>
constexpr Enlarged<Array> push_back(Array&& arr, T&& val)
{
    return push_back(
        forward<Array>(arr),
        forward<T>(val),
        build_indices<array_size<Bare<Array>>::value>{});
}