Finding the Fourth Proportional to 2,509.10, 3,462.59 and 1,565.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.10 : 3,462.59 = 1,565.27 : x
2. Step 2: Convert to fraction form
   2,509.10/3,462.59 = 1,565.27/x
3. Step 3: Cross multiply
   2,509.10x = 3,462.59 × 1,565.27
4. Step 4: Simplify right side
   2,509.10x = 5,419,888.25
5. Step 5: Solve for x
   x = 5,419,888.25/2,509.10
6. Step 6: Final answer
   x = 2,160.09