Alright, let's work through 6684 times 1262 step by step
6684 × 1262 = 1262 × (6684)
+ 1262 × 4 what gives us 5048
+ 1262 × 80 resulting in 100960
+ 1262 × 600 that is equal 757200
+ 1262 × 6000 what gives us 7572000

= 8435208
