Finding the Fourth Proportional to 2,592.34, 3,577.28 and 1,413.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.34 : 3,577.28 = 1,413.40 : x
2. Step 2: Convert to fraction form
   2,592.34/3,577.28 = 1,413.40/x
3. Step 3: Cross multiply
   2,592.34x = 3,577.28 × 1,413.40
4. Step 4: Simplify right side
   2,592.34x = 5,056,127.55
5. Step 5: Solve for x
   x = 5,056,127.55/2,592.34
6. Step 6: Final answer
   x = 1,950.41