Alright, let's work through 4977 times 9077 step by step
4977 × 9077 = 9077 × (4977)
+ 9077 × 7 that equals 63539
+ 9077 × 70 that results in 635390
+ 9077 × 900 that is equal 8169300
+ 9077 × 4000 that results in 36308000

= 45176229
