Finding the Fourth Proportional to 1,024.35, 1,413.61 and 582.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.35 : 1,413.61 = 582.25 : x
2. Step 2: Convert to fraction form
   1,024.35/1,413.61 = 582.25/x
3. Step 3: Cross multiply
   1,024.35x = 1,413.61 × 582.25
4. Step 4: Simplify right side
   1,024.35x = 823,077.96
5. Step 5: Solve for x
   x = 823,077.96/1,024.35
6. Step 6: Final answer
   x = 803.51