My goodness!! Well $1400 or $10,700...either way I don't think you should have to pay this! They have admitted that you were probably not told and I don't think it's fair to dump the costs on you now!!

The fact is you may have held off on treatment or gone somewhere else if you knew all the facts, I would ask to speak to someone high up explain your case and explain why they quoted you a price and now that they have done the things covered under said price they cannot add more money to it! Surely that is actually illegal