Finding the Fourth Proportional to 2,002.28, 2,764.60 and 1,413.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.28 : 2,764.60 = 1,413.61 : x
2. Step 2: Convert to fraction form
   2,002.28/2,764.60 = 1,413.61/x
3. Step 3: Cross multiply
   2,002.28x = 2,764.60 × 1,413.61
4. Step 4: Simplify right side
   2,002.28x = 3,908,055.76
5. Step 5: Solve for x
   x = 3,908,055.76/2,002.28
6. Step 6: Final answer
   x = 1,951.81