Finding the Fourth Proportional to 1,023.12, 1,411.88 and 557.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.12 : 1,411.88 = 557.37 : x
2. Step 2: Convert to fraction form
   1,023.12/1,411.88 = 557.37/x
3. Step 3: Cross multiply
   1,023.12x = 1,411.88 × 557.37
4. Step 4: Simplify right side
   1,023.12x = 786,936.77
5. Step 5: Solve for x
   x = 786,936.77/1,023.12
6. Step 6: Final answer
   x = 769.15