Finding the Fourth Proportional to 2,760.27, 3,808.20 and 1,565.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760.27 : 3,808.20 = 1,565.08 : x
2. Step 2: Convert to fraction form
   2,760.27/3,808.20 = 1,565.08/x
3. Step 3: Cross multiply
   2,760.27x = 3,808.20 × 1,565.08
4. Step 4: Simplify right side
   2,760.27x = 5,960,128.14
5. Step 5: Solve for x
   x = 5,960,128.14/2,760.27
6. Step 6: Final answer
   x = 2,159.26