Fair or Foul??????

[that's a walk]

I stirred up a hornet's nest with this question. Had all types of answers and the reasons why... Simple question....

Batter swings and makes contact. The ball first hits the ground in foul territory outside the opposite batters box. Ball then rolls into fair territory down first baseline where it is touched by 1b. Is this considered a fair ball or is it dead as soon as it first touches foul territory?