Finding the Fourth Proportional to 1,023.52, 1,412.42 and 557.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.52 : 1,412.42 = 557.76 : x
2. Step 2: Convert to fraction form
   1,023.52/1,412.42 = 557.76/x
3. Step 3: Cross multiply
   1,023.52x = 1,412.42 × 557.76
4. Step 4: Simplify right side
   1,023.52x = 787,791.38
5. Step 5: Solve for x
   x = 787,791.38/1,023.52
6. Step 6: Final answer
   x = 769.69