If Camera A and Camera B take a picture at the same time, they will take a picture $ 77 $ minutes later at the same time. Therefore, if we can find the first time they take a picture together, then we can continue adding $ 77 $ minutes to figure out when the fourth picture was taken. Camera A's first pictures after $ 7 $ AM is at $ 7:06 $, followed by $ 7:17 $ and $ 7:28 $. Camera B will take a picture at $ 7:28 $. From here, we add $ 77 $ minutes until we have taken four pictures. $ 7:28 $ is followed by $ 8:45 $, which is followed by $ 10:02 $, which is followed by $ 11:19 $. This is $ \boxed{41} $ minutes before noon.