Finding the Fourth Proportional to 1,024.47, 1,413.78 and 558.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.47 : 1,413.78 = 558.72 : x
2. Step 2: Convert to fraction form
   1,024.47/1,413.78 = 558.72/x
3. Step 3: Cross multiply
   1,024.47x = 1,413.78 × 558.72
4. Step 4: Simplify right side
   1,024.47x = 789,907.16
5. Step 5: Solve for x
   x = 789,907.16/1,024.47
6. Step 6: Final answer
   x = 771.04