Alright, let's work through 9637 times 7761 step by step
9637 × 7761 = 7761 × (9637)
+ 7761 × 7 resulting in 54327
+ 7761 × 30 resulting in 232830
+ 7761 × 600 yielding 4656600
+ 7761 × 9000 producing 69849000

= 74792757
