Alright, let's work through 4583 times 2508 step by step
4583 × 2508 = 2508 × (4583)
+ 2508 × 3 resulting in 7524
+ 2508 × 80 that equals 200640
+ 2508 × 500 which equals 1254000
+ 2508 × 4000 producing 10032000

= 11494164
