Add a button to sign

Hello, I've made a fillable form for work using Acrobat XI- everything works fine including the calculations. However, if the user fills the form using Google Chrome - it does everything the user needs it to do . What it doesn't do is- save and electronically sign the PDF.

Does anybody have a fix or a workaround to this?

I've suggested they download the PDF form and open using Adobe Acrobat- however, some users prefer to use it on their browser.