Alright, let's work through 4201 times 6574 step by step
4201 × 6574 = 6574 × (4201)
+ 6574 × 1 yielding 6574
+ 6574 × 00 that equals 0
+ 6574 × 200 giving us 1314800
+ 6574 × 4000 producing 26296000

= 27617374
