Finding the Fourth Proportional to 2,760.06, 3,809.05 and 1,565.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760.06 : 3,809.05 = 1,565.10 : x
2. Step 2: Convert to fraction form
   2,760.06/3,809.05 = 1,565.10/x
3. Step 3: Cross multiply
   2,760.06x = 3,809.05 × 1,565.10
4. Step 4: Simplify right side
   2,760.06x = 5,961,521.20
5. Step 5: Solve for x
   x = 5,961,521.20/2,760.06
6. Step 6: Final answer
   x = 2,159.92