Alright, let's work through 4637 times 9738 step by step
4637 × 9738 = 9738 × (4637)
+ 9738 × 7 producing 68166
+ 9738 × 30 yielding 292140
+ 9738 × 600 producing 5842800
+ 9738 × 4000 what gives us 38952000

= 45155106
