The way that Anna Sorokin was able to fool everyone was quite ingenious. From check-kiting, false documents, loans and through her friends, she was able to live a lavish lifestyle and swindle people out of hundreds of thousands of dollars.
That being said, it was almost inevitable that she would get caught. Had her Anna Devley Foundation taken off of the ground and was able to bring in a profit, she might have even gotten away with it all and became the socialite that she appeared to be on the outside.