Falkirk slipped to their third defeat on the trot at Brockville with a surprise defeat from bottom of the table Airdrie.
The visitors had looked the better early on although most of the shooting left a lot to be desired until the opener arrived in the 34th minute.
Oddly enough, it was the Bairns who almost broke the deadlock when Gareth Hutchison got on the end of a Andy Lawrie cross three yards out only to see the visiting keeper Javier Broto miraculously block his point blank header.
The ball was despatched up field immediately to Fabrice Moreau 20 yards from the goal and as the home defence stood off him, he lashed a right-foot shot high into Hogarth's top left-hand corner.
The home side applied relentless pressure in the second period, but apart from Jamie McQuilken's drive that almost broke the upright before the ball bounced clear, they lacked potency.
It was really no surprise when the Diamonds broke in the 87th minute and the trialist slid the ball behind Hogarth from 12 yards after taking a return pass from Moreau.