Finding the Fourth Proportional to 1,024.50, 1,413.82 and 558.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.50 : 1,413.82 = 558.76 : x
2. Step 2: Convert to fraction form
   1,024.50/1,413.82 = 558.76/x
3. Step 3: Cross multiply
   1,024.50x = 1,413.82 × 558.76
4. Step 4: Simplify right side
   1,024.50x = 789,986.06
5. Step 5: Solve for x
   x = 789,986.06/1,024.50
6. Step 6: Final answer
   x = 771.09