Finding the Fourth Proportional to 3,665.45, 5,496.62 and 1,413.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.45 : 5,496.62 = 1,413.61 : x
2. Step 2: Convert to fraction form
   3,665.45/5,496.62 = 1,413.61/x
3. Step 3: Cross multiply
   3,665.45x = 5,496.62 × 1,413.61
4. Step 4: Simplify right side
   3,665.45x = 7,770,069.93
5. Step 5: Solve for x
   x = 7,770,069.93/3,665.45
6. Step 6: Final answer
   x = 2,119.81