Finding the Fourth Proportional to 1,024.57, 1,413.92 and 558.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.57 : 1,413.92 = 558.82 : x
2. Step 2: Convert to fraction form
   1,024.57/1,413.92 = 558.82/x
3. Step 3: Cross multiply
   1,024.57x = 1,413.92 × 558.82
4. Step 4: Simplify right side
   1,024.57x = 790,126.77
5. Step 5: Solve for x
   x = 790,126.77/1,024.57
6. Step 6: Final answer
   x = 771.18