Finding the Fourth Proportional to 1,024.81, 1,413.90 and 582.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.81 : 1,413.90 = 582.55 : x
2. Step 2: Convert to fraction form
   1,024.81/1,413.90 = 582.55/x
3. Step 3: Cross multiply
   1,024.81x = 1,413.90 × 582.55
4. Step 4: Simplify right side
   1,024.81x = 823,667.45
5. Step 5: Solve for x
   x = 823,667.45/1,024.81
6. Step 6: Final answer
   x = 803.73