Finding the Fourth Proportional to 1,024.29, 1,413.59 and 582.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.29 : 1,413.59 = 582.03 : x
2. Step 2: Convert to fraction form
   1,024.29/1,413.59 = 582.03/x
3. Step 3: Cross multiply
   1,024.29x = 1,413.59 × 582.03
4. Step 4: Simplify right side
   1,024.29x = 822,748.88
5. Step 5: Solve for x
   x = 822,748.88/1,024.29
6. Step 6: Final answer
   x = 803.24