Finding the Fourth Proportional to 1,158.46, 1,598.55 and 686.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.46 : 1,598.55 = 686.53 : x
2. Step 2: Convert to fraction form
   1,158.46/1,598.55 = 686.53/x
3. Step 3: Cross multiply
   1,158.46x = 1,598.55 × 686.53
4. Step 4: Simplify right side
   1,158.46x = 1,097,452.53
5. Step 5: Solve for x
   x = 1,097,452.53/1,158.46
6. Step 6: Final answer
   x = 947.34