Finding the Fourth Proportional to 1,096.62, 1,513.38 and 599.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.62 : 1,513.38 = 599.24 : x
2. Step 2: Convert to fraction form
   1,096.62/1,513.38 = 599.24/x
3. Step 3: Cross multiply
   1,096.62x = 1,513.38 × 599.24
4. Step 4: Simplify right side
   1,096.62x = 906,877.83
5. Step 5: Solve for x
   x = 906,877.83/1,096.62
6. Step 6: Final answer
   x = 826.98