This is playing fast and loose with the typical interpretation of command line "arguments", but I start most of my bash scripts with the following, as an easy way to add --help support:
if [[ "$@" =~ --help ]]; then
  echo 'So, lemme tell you how to work this here script...'
  exit
fi
The main drawback is that this will also be triggered by arguments like request--help.log, --no--help, etc. (not just --help, which might be a requirement for your solution).
To apply this method in your case, you would write something like:
[[ "$@" =~ arg4 ]] && echo "Ahoy, arg4 sighted!"
Bonus! If your script requires at least one command line argument, you can similarly trigger a help message when no arguments are supplied:
if [[ "${@---help}" =~ --help ]]; then
  echo 'Ok first yer gonna need to find a file...'
  exit 1
fi
which uses the empty-variable-substitution syntax ${VAR-default} to hallucinate a --help argument if absolutely no arguments were given.