Finding the Fourth Proportional to 2,744.32, 3,787.58 and 1,565.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.32 : 3,787.58 = 1,565.72 : x
2. Step 2: Convert to fraction form
   2,744.32/3,787.58 = 1,565.72/x
3. Step 3: Cross multiply
   2,744.32x = 3,787.58 × 1,565.72
4. Step 4: Simplify right side
   2,744.32x = 5,930,289.76
5. Step 5: Solve for x
   x = 5,930,289.76/2,744.32
6. Step 6: Final answer
   x = 2,160.93