Finding the Fourth Proportional to 1,023.89, 1,413.15 and 581.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.89 : 1,413.15 = 581.78 : x
2. Step 2: Convert to fraction form
   1,023.89/1,413.15 = 581.78/x
3. Step 3: Cross multiply
   1,023.89x = 1,413.15 × 581.78
4. Step 4: Simplify right side
   1,023.89x = 822,142.41
5. Step 5: Solve for x
   x = 822,142.41/1,023.89
6. Step 6: Final answer
   x = 802.96