Alright, let's work through 6744 times 1168 step by step
6744 × 1168 = 1168 × (6744)
+ 1168 × 4 which equals 4672
+ 1168 × 40 resulting in 46720
+ 1168 × 700 that equals 817600
+ 1168 × 6000 which equals 7008000

= 7876992
