Mr Fischer was so angry that he filed a claim at Slough County Court, arguing that the airline's long-standing policy of forbidding men from sitting next to unaccompanied children not only cast the whole male gender in an unsavoury light, but was essentially sex discrimination.
BA is understood to have admitted sex discrimination in Mr Fischer's case and agreed to pay £2,161 in costs and £750 in damages.
The company denied the policy was discriminatory although a spokesman told the BBC it was now under review.
He said: "I felt humiliated and outraged. They accuse you of being some kind of child molester just because you are sitting next to someone.
"It is no different from stopping men from being allowed to sit next to boys in a public place but where will this stop? Are supermarkets next?