Finding the Fourth Proportional to 1,158.16, 1,598.22 and 686.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.16 : 1,598.22 = 686.14 : x
2. Step 2: Convert to fraction form
   1,158.16/1,598.22 = 686.14/x
3. Step 3: Cross multiply
   1,158.16x = 1,598.22 × 686.14
4. Step 4: Simplify right side
   1,158.16x = 1,096,602.67
5. Step 5: Solve for x
   x = 1,096,602.67/1,158.16
6. Step 6: Final answer
   x = 946.85