Finding the Fourth Proportional to 1,096.49, 1,513.14 and 599.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.49 : 1,513.14 = 599.15 : x
2. Step 2: Convert to fraction form
   1,096.49/1,513.14 = 599.15/x
3. Step 3: Cross multiply
   1,096.49x = 1,513.14 × 599.15
4. Step 4: Simplify right side
   1,096.49x = 906,590.27
5. Step 5: Solve for x
   x = 906,590.27/1,096.49
6. Step 6: Final answer
   x = 826.82