Finding the Fourth Proportional to 1,024.43, 1,413.57 and 582.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.43 : 1,413.57 = 582.17 : x
2. Step 2: Convert to fraction form
   1,024.43/1,413.57 = 582.17/x
3. Step 3: Cross multiply
   1,024.43x = 1,413.57 × 582.17
4. Step 4: Simplify right side
   1,024.43x = 822,938.05
5. Step 5: Solve for x
   x = 822,938.05/1,024.43
6. Step 6: Final answer
   x = 803.31