Finding the Fourth Proportional to 2,592.82, 3,578.08 and 1,413.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.82 : 3,578.08 = 1,413.89 : x
2. Step 2: Convert to fraction form
   2,592.82/3,578.08 = 1,413.89/x
3. Step 3: Cross multiply
   2,592.82x = 3,578.08 × 1,413.89
4. Step 4: Simplify right side
   2,592.82x = 5,059,011.53
5. Step 5: Solve for x
   x = 5,059,011.53/2,592.82
6. Step 6: Final answer
   x = 1,951.16