Alright, let's solve this problem step by step. We have 1004 and 3086 and we're adding them together.

Step 1: We'll start by adding the digits 4 & 6 in column 1 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 2: We'll start by adding the digits 0 & 8 in column 2 and get 9.

Step 3: We'll start by adding the digits 0 & 0 in column 3 and get 0.

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

So, 1004 + 3086 = 4090.

