Finding the Fourth Proportional to 2,760.56, 3,808.62 and 1,565.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760.56 : 3,808.62 = 1,565.42 : x
2. Step 2: Convert to fraction form
   2,760.56/3,808.62 = 1,565.42/x
3. Step 3: Cross multiply
   2,760.56x = 3,808.62 × 1,565.42
4. Step 4: Simplify right side
   2,760.56x = 5,962,070.88
5. Step 5: Solve for x
   x = 5,962,070.88/2,760.56
6. Step 6: Final answer
   x = 2,159.74