Finding the Fourth Proportional to 1,024.33, 1,413.59 and 582.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.33 : 1,413.59 = 582.24 : x
2. Step 2: Convert to fraction form
   1,024.33/1,413.59 = 582.24/x
3. Step 3: Cross multiply
   1,024.33x = 1,413.59 × 582.24
4. Step 4: Simplify right side
   1,024.33x = 823,048.64
5. Step 5: Solve for x
   x = 823,048.64/1,024.33
6. Step 6: Final answer
   x = 803.50