Finding the Fourth Proportional to 2,592.57, 3,577.74 and 1,413.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.57 : 3,577.74 = 1,413.64 : x
2. Step 2: Convert to fraction form
   2,592.57/3,577.74 = 1,413.64/x
3. Step 3: Cross multiply
   2,592.57x = 3,577.74 × 1,413.64
4. Step 4: Simplify right side
   2,592.57x = 5,057,636.37
5. Step 5: Solve for x
   x = 5,057,636.37/2,592.57
6. Step 6: Final answer
   x = 1,950.82