Finding the Fourth Proportional to 1,024.55, 1,413.83 and 582.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.55 : 1,413.83 = 582.42 : x
2. Step 2: Convert to fraction form
   1,024.55/1,413.83 = 582.42/x
3. Step 3: Cross multiply
   1,024.55x = 1,413.83 × 582.42
4. Step 4: Simplify right side
   1,024.55x = 823,439.96
5. Step 5: Solve for x
   x = 823,439.96/1,024.55
6. Step 6: Final answer
   x = 803.71