Finding the Fourth Proportional to 1,158.52, 1,598.64 and 686.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.52 : 1,598.64 = 686.35 : x
2. Step 2: Convert to fraction form
   1,158.52/1,598.64 = 686.35/x
3. Step 3: Cross multiply
   1,158.52x = 1,598.64 × 686.35
4. Step 4: Simplify right side
   1,158.52x = 1,097,226.56
5. Step 5: Solve for x
   x = 1,097,226.56/1,158.52
6. Step 6: Final answer
   x = 947.09