Finding the Fourth Proportional to 1,096.52, 1,513.17 and 599.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.52 : 1,513.17 = 599.18 : x
2. Step 2: Convert to fraction form
   1,096.52/1,513.17 = 599.18/x
3. Step 3: Cross multiply
   1,096.52x = 1,513.17 × 599.18
4. Step 4: Simplify right side
   1,096.52x = 906,653.63
5. Step 5: Solve for x
   x = 906,653.63/1,096.52
6. Step 6: Final answer
   x = 826.85