Finding the Fourth Proportional to 1,096.50, 1,513.21 and 599.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.50 : 1,513.21 = 599.15 : x
2. Step 2: Convert to fraction form
   1,096.50/1,513.21 = 599.15/x
3. Step 3: Cross multiply
   1,096.50x = 1,513.21 × 599.15
4. Step 4: Simplify right side
   1,096.50x = 906,632.98
5. Step 5: Solve for x
   x = 906,632.98/1,096.50
6. Step 6: Final answer
   x = 826.84