Alright, let's work through 4477 times 1004 step by step
4477 × 1004 = 1004 × (4477)
+ 1004 × 7 which equals 7028
+ 1004 × 70 producing 70280
+ 1004 × 400 producing 401600
+ 1004 × 4000 giving us 4016000

= 4494908
