Finding the Fourth Proportional to 2,744.69, 3,787.31 and 1,565.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.69 : 3,787.31 = 1,565.69 : x
2. Step 2: Convert to fraction form
   2,744.69/3,787.31 = 1,565.69/x
3. Step 3: Cross multiply
   2,744.69x = 3,787.31 × 1,565.69
4. Step 4: Simplify right side
   2,744.69x = 5,929,738.37
5. Step 5: Solve for x
   x = 5,929,738.37/2,744.69
6. Step 6: Final answer
   x = 2,160.44