Alright, let's work through 7684 times 2274 step by step
7684 × 2274 = 2274 × (7684)
+ 2274 × 4 yielding 9096
+ 2274 × 80 which equals 181920
+ 2274 × 600 yielding 1364400
+ 2274 × 7000 that results in 15918000

= 17473416
