Finding the Fourth Proportional to 2,565.46, 3,847.89 and 1,908.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.46 : 3,847.89 = 1,908.15 : x
2. Step 2: Convert to fraction form
   2,565.46/3,847.89 = 1,908.15/x
3. Step 3: Cross multiply
   2,565.46x = 3,847.89 × 1,908.15
4. Step 4: Simplify right side
   2,565.46x = 7,342,351.30
5. Step 5: Solve for x
   x = 7,342,351.30/2,565.46
6. Step 6: Final answer
   x = 2,862.00