Finding the Fourth Proportional to 1,023.56, 1,412.52 and 557.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.56 : 1,412.52 = 557.81 : x
2. Step 2: Convert to fraction form
   1,023.56/1,412.52 = 557.81/x
3. Step 3: Cross multiply
   1,023.56x = 1,412.52 × 557.81
4. Step 4: Simplify right side
   1,023.56x = 787,921.31
5. Step 5: Solve for x
   x = 787,921.31/1,023.56
6. Step 6: Final answer
   x = 769.78