Finding the Fourth Proportional to 1,024.42, 1,413.71 and 582.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.42 : 1,413.71 = 582.35 : x
2. Step 2: Convert to fraction form
   1,024.42/1,413.71 = 582.35/x
3. Step 3: Cross multiply
   1,024.42x = 1,413.71 × 582.35
4. Step 4: Simplify right side
   1,024.42x = 823,274.02
5. Step 5: Solve for x
   x = 823,274.02/1,024.42
6. Step 6: Final answer
   x = 803.65