No problem, let's work through this together. We're starting with 624 and 4173 and adding them all up.

Step 1: We'll start by adding the digits 4 & 3 in column 1 and get 7.

Step 2: We'll start by adding the digits 2 & 7 in column 2 and get 9.

Step 3: We'll start by adding the digits 6 & 1 in column 3 and get 7.

Step 4: We'll start by adding the digits 0 & 4 in column 4 and get 4.

So, 624 + 4173 = 4797.

