Alright, let's work through 7678 times 509 step by step
7678 × 509 = 509 × (7678)
+ 509 × 8 yielding 4072
+ 509 × 70 which equals 35630
+ 509 × 600 that results in 305400
+ 509 × 7000 yielding 3563000

= 3908102
