Finding the Fourth Proportional to 2,592.47, 3,577.70 and 1,413.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.47 : 3,577.70 = 1,413.58 : x
2. Step 2: Convert to fraction form
   2,592.47/3,577.70 = 1,413.58/x
3. Step 3: Cross multiply
   2,592.47x = 3,577.70 × 1,413.58
4. Step 4: Simplify right side
   2,592.47x = 5,057,365.17
5. Step 5: Solve for x
   x = 5,057,365.17/2,592.47
6. Step 6: Final answer
   x = 1,950.79