Alright, let's solve this problem step by step. We have 4171 and 1823 and we're adding them together.

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

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

Step 3: We'll start by adding the digits 1 & 8 in column 3 and get 9.

Step 4: We'll start by adding the digits 4 & 1 in column 4 and get 5.

So, 4171 + 1823 = 5994.

