Alright, let's solve this problem step by step. We have 9415 and 1834 and we're adding them together.

Step 1: We'll start by adding the digits 5 & 4 in column 1 and get 9.

Step 2: We'll start by adding the digits 1 & 3 in column 2 and get 4.

Step 3: We'll start by adding the digits 4 & 8 in column 3 and get 12.
We'll write down the last digit 2 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 9 & 1 in column 4 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

So, 9415 + 1834 = 11249.

