Finding the Fourth Proportional to 1,096.55, 1,513.23 and 599.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.55 : 1,513.23 = 599.20 : x
2. Step 2: Convert to fraction form
   1,096.55/1,513.23 = 599.20/x
3. Step 3: Cross multiply
   1,096.55x = 1,513.23 × 599.20
4. Step 4: Simplify right side
   1,096.55x = 906,724.76
5. Step 5: Solve for x
   x = 906,724.76/1,096.55
6. Step 6: Final answer
   x = 826.89