Alright, let's work through 5663 times 1288 step by step
5663 × 1288 = 1288 × (5663)
+ 1288 × 3 that is equal 3864
+ 1288 × 60 that is equal 77280
+ 1288 × 600 resulting in 772800
+ 1288 × 5000 which equals 6440000

= 7293944
