That someone starts with you, by reporting it to the police as it would fall under fraudulently obtaining money or something along those grounds.
However, you have to realise that you must be vigilant to this sort of scam, the internet is no different to normal life. If someone said to you in the street or at your home that your house was about to be burgled and I can make sure it doesn't for the very small fee of XX; you would be highly suspicious of that.
Edit:
As you paid by credit card there is a high chance that your identity could be stolen so you now have to be extra vigilant, if any information you gave is used in other areas and you should change any credit cards passwords or pin, etc. possibly go so far as to have the card replaced with a new one. Whilst this could be a pain in the rear if you have any regular payments that are paid by card you would have to update those when you got your new card.