Finding the Fourth Proportional to 1,024.37, 1,413.82 and 582.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.37 : 1,413.82 = 582.24 : x
2. Step 2: Convert to fraction form
   1,024.37/1,413.82 = 582.24/x
3. Step 3: Cross multiply
   1,024.37x = 1,413.82 × 582.24
4. Step 4: Simplify right side
   1,024.37x = 823,182.56
5. Step 5: Solve for x
   x = 823,182.56/1,024.37
6. Step 6: Final answer
   x = 803.60