Finding the Fourth Proportional to 2,592.56, 3,577.77 and 1,413.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.56 : 3,577.77 = 1,413.69 : x
2. Step 2: Convert to fraction form
   2,592.56/3,577.77 = 1,413.69/x
3. Step 3: Cross multiply
   2,592.56x = 3,577.77 × 1,413.69
4. Step 4: Simplify right side
   2,592.56x = 5,057,857.67
5. Step 5: Solve for x
   x = 5,057,857.67/2,592.56
6. Step 6: Final answer
   x = 1,950.92