Finding the Fourth Proportional to 1,024.55, 1,413.86 and 582.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.55 : 1,413.86 = 582.49 : x
2. Step 2: Convert to fraction form
   1,024.55/1,413.86 = 582.49/x
3. Step 3: Cross multiply
   1,024.55x = 1,413.86 × 582.49
4. Step 4: Simplify right side
   1,024.55x = 823,558.17
5. Step 5: Solve for x
   x = 823,558.17/1,024.55
6. Step 6: Final answer
   x = 803.83