Finding the Fourth Proportional to 1,142.59, 1,714.01 and 557.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.59 : 1,714.01 = 557.17 : x
2. Step 2: Convert to fraction form
   1,142.59/1,714.01 = 557.17/x
3. Step 3: Cross multiply
   1,142.59x = 1,714.01 × 557.17
4. Step 4: Simplify right side
   1,142.59x = 954,989.27
5. Step 5: Solve for x
   x = 954,989.27/1,142.59
6. Step 6: Final answer
   x = 835.81