Finding the Fourth Proportional to 1,024.52, 1,413.80 and 558.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.52 : 1,413.80 = 558.76 : x
2. Step 2: Convert to fraction form
   1,024.52/1,413.80 = 558.76/x
3. Step 3: Cross multiply
   1,024.52x = 1,413.80 × 558.76
4. Step 4: Simplify right side
   1,024.52x = 789,974.89
5. Step 5: Solve for x
   x = 789,974.89/1,024.52
6. Step 6: Final answer
   x = 771.07