Finding the Fourth Proportional to 1,158.48, 1,598.31 and 686.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.48 : 1,598.31 = 686.23 : x
2. Step 2: Convert to fraction form
   1,158.48/1,598.31 = 686.23/x
3. Step 3: Cross multiply
   1,158.48x = 1,598.31 × 686.23
4. Step 4: Simplify right side
   1,158.48x = 1,096,804.28
5. Step 5: Solve for x
   x = 1,096,804.28/1,158.48
6. Step 6: Final answer
   x = 946.76