Finding the Fourth Proportional to 2,744.83, 3,787.83 and 1,565.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.83 : 3,787.83 = 1,565.92 : x
2. Step 2: Convert to fraction form
   2,744.83/3,787.83 = 1,565.92/x
3. Step 3: Cross multiply
   2,744.83x = 3,787.83 × 1,565.92
4. Step 4: Simplify right side
   2,744.83x = 5,931,438.75
5. Step 5: Solve for x
   x = 5,931,438.75/2,744.83
6. Step 6: Final answer
   x = 2,160.95