Okay, we are tasked with adding 4762 and 6282. Let's begin!

Step 1: We'll start by adding the digits 2 & 2 in column 1 and get 4.

Step 2: We'll start by adding the digits 6 & 8 in column 2 and get 14.
We'll write down the last digit 4 and carry the 1 to the next column.

Step 3: We'll start by adding the digits 7 & 2 in column 3 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 4 & 6 in column 4 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

So, 4762 + 6282 = 11044.

