Finding the Fourth Proportional to 2,592.90, 3,578.20 and 1,413.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.90 : 3,578.20 = 1,413.96 : x
2. Step 2: Convert to fraction form
   2,592.90/3,578.20 = 1,413.96/x
3. Step 3: Cross multiply
   2,592.90x = 3,578.20 × 1,413.96
4. Step 4: Simplify right side
   2,592.90x = 5,059,431.67
5. Step 5: Solve for x
   x = 5,059,431.67/2,592.90
6. Step 6: Final answer
   x = 1,951.26