Were there any other fraudulent purchases on this credit card? Another person's credit report is a funny thing to "steal", so to speak. In order for someone to obtain your credit report, however, they'd need more than just your credit card number - they'd need to be able to verify some of your personal information.
I wonder if you're being set up for identity theft. Maybe the perpetrator wanted a look at your credit report, to see if yours would be a good identity to steal and then open a bunch of credit cards. Given the fact that this occurred on the day that you signed a new contract on a car, which involves a credit check and the divulging/revealing of sensitive personal information, I'd be concerned that the culprit is someone at the dealership.
I would recommend that you place a fraud alert on your credit reports at all 3 bureaus. I've been told that if you contact one, they will notify the others. This was definitely the case for me a few years ago. But if you want to extra safe, you can contact all 3 bureaus directly.
ETA: just noticed UB-UP's message - yeah, I guess it makes more sense that someone would order his own credit report, as opposed to yours. Duh - I guess I'm in a particular suspicious mood this morning, with all my speculation about identity theft. Still, a fraud alert would be a good idea until you figure out what's going on.
If you want to find out if your credit report was pulled, you'd have to obtain your own report directly from the credit bureaus. It would show up as a soft inquiry on your report.
