Finding the Fourth Proportional to 2,744.28, 3,786.84 and 1,565.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.28 : 3,786.84 = 1,565.46 : x
2. Step 2: Convert to fraction form
   2,744.28/3,786.84 = 1,565.46/x
3. Step 3: Cross multiply
   2,744.28x = 3,786.84 × 1,565.46
4. Step 4: Simplify right side
   2,744.28x = 5,928,146.55
5. Step 5: Solve for x
   x = 5,928,146.55/2,744.28
6. Step 6: Final answer
   x = 2,160.18