Finding the Fourth Proportional to 1,096.50, 1,513.11 and 599.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.50 : 1,513.11 = 599.04 : x
2. Step 2: Convert to fraction form
   1,096.50/1,513.11 = 599.04/x
3. Step 3: Cross multiply
   1,096.50x = 1,513.11 × 599.04
4. Step 4: Simplify right side
   1,096.50x = 906,410.42
5. Step 5: Solve for x
   x = 906,410.42/1,096.50
6. Step 6: Final answer
   x = 826.64