Finding the Fourth Proportional to 2,509.64, 3,462.72 and 1,514.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.64 : 3,462.72 = 1,514.96 : x
2. Step 2: Convert to fraction form
   2,509.64/3,462.72 = 1,514.96/x
3. Step 3: Cross multiply
   2,509.64x = 3,462.72 × 1,514.96
4. Step 4: Simplify right side
   2,509.64x = 5,245,882.29
5. Step 5: Solve for x
   x = 5,245,882.29/2,509.64
6. Step 6: Final answer
   x = 2,090.29