What can I legally do if a false report was filed against me?

My ex fiancé filed charges against me saying that I opened and used a care credit card in his name. I was arrested for obtaining property under false pretenses. I didn't do it. Basically what happened is that while we were together, I applied for a care credit card to help with a down payment on my braces. I didn't get approved so I talked to my fiancé about the situation and he agreed to help. He did the application for the credit line on the internet and then with his permission I used it to help get my braces on. Now that we are broken up, he has lied and falsified a police report. I don't know what I can do about this. The only proof I have that this is actually what happened is that I have a witness that overheard this conversation about him getting the credit line for me.