This is very simple, you just need to add a background image to the select element and position it where you need to, but don’t forget to add:
-webkit-appearance: none;
-moz-appearance: none;
appearance: none;
According to http://shouldiprefix.com/#appearance
Microsoft Edge and IE mobile support this property with the -webkit- prefix rather than -ms- for interop reasons.
I just made this fiddle http://jsfiddle.net/drjorgepolanco/uxxvayqe/