Finding the Fourth Proportional to 2,592.45, 3,577.64 and 1,413.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.45 : 3,577.64 = 1,413.59 : x
2. Step 2: Convert to fraction form
   2,592.45/3,577.64 = 1,413.59/x
3. Step 3: Cross multiply
   2,592.45x = 3,577.64 × 1,413.59
4. Step 4: Simplify right side
   2,592.45x = 5,057,291.17
5. Step 5: Solve for x
   x = 5,057,291.17/2,592.45
6. Step 6: Final answer
   x = 1,950.78