Finding the Fourth Proportional to 1,158.27, 1,736.88 and 542.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.27 : 1,736.88 = 542.16 : x
2. Step 2: Convert to fraction form
   1,158.27/1,736.88 = 542.16/x
3. Step 3: Cross multiply
   1,158.27x = 1,736.88 × 542.16
4. Step 4: Simplify right side
   1,158.27x = 941,666.86
5. Step 5: Solve for x
   x = 941,666.86/1,158.27
6. Step 6: Final answer
   x = 812.99