you can't use the credit report to figure out who opened the account.
it's probably too far gone, but suggest calling the credit card company and asking for the documentation of the transaction that occurred. Importantly, Ask them for a copy of the application and then check the signature on that application. Is it yours?
if someone fraudulently opened an account using your identity, you won't be able to figure how who it was in any event.
it also could have been a key punch error that resulted in the same Social Security # as your own.