Finding the Fourth Proportional to 1,024.58, 1,413.82 and 582.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.58 : 1,413.82 = 582.46 : x
2. Step 2: Convert to fraction form
   1,024.58/1,413.82 = 582.46/x
3. Step 3: Cross multiply
   1,024.58x = 1,413.82 × 582.46
4. Step 4: Simplify right side
   1,024.58x = 823,493.60
5. Step 5: Solve for x
   x = 823,493.60/1,024.58
6. Step 6: Final answer
   x = 803.74