Finding the Fourth Proportional to 2,744.34, 3,786.66 and 1,565.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.34 : 3,786.66 = 1,565.38 : x
2. Step 2: Convert to fraction form
   2,744.34/3,786.66 = 1,565.38/x
3. Step 3: Cross multiply
   2,744.34x = 3,786.66 × 1,565.38
4. Step 4: Simplify right side
   2,744.34x = 5,927,561.83
5. Step 5: Solve for x
   x = 5,927,561.83/2,744.34
6. Step 6: Final answer
   x = 2,159.92