Finding the Fourth Proportional to 2,509.71, 3,462.57 and 1,514.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.71 : 3,462.57 = 1,514.61 : x
2. Step 2: Convert to fraction form
   2,509.71/3,462.57 = 1,514.61/x
3. Step 3: Cross multiply
   2,509.71x = 3,462.57 × 1,514.61
4. Step 4: Simplify right side
   2,509.71x = 5,244,443.15
5. Step 5: Solve for x
   x = 5,244,443.15/2,509.71
6. Step 6: Final answer
   x = 2,089.66