Finding the Fourth Proportional to 1,023.57, 1,412.52 and 557.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.57 : 1,412.52 = 557.82 : x
2. Step 2: Convert to fraction form
   1,023.57/1,412.52 = 557.82/x
3. Step 3: Cross multiply
   1,023.57x = 1,412.52 × 557.82
4. Step 4: Simplify right side
   1,023.57x = 787,931.91
5. Step 5: Solve for x
   x = 787,931.91/1,023.57
6. Step 6: Final answer
   x = 769.79