Finding the Fourth Proportional to 2,592.89, 3,578.13 and 1,413.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.89 : 3,578.13 = 1,413.97 : x
2. Step 2: Convert to fraction form
   2,592.89/3,578.13 = 1,413.97/x
3. Step 3: Cross multiply
   2,592.89x = 3,578.13 × 1,413.97
4. Step 4: Simplify right side
   2,592.89x = 5,059,359.53
5. Step 5: Solve for x
   x = 5,059,359.53/2,592.89
6. Step 6: Final answer
   x = 1,951.25