Finding the Fourth Proportional to 2,508.66, 3,462.72 and 1,447.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.66 : 3,462.72 = 1,447.14 : x
2. Step 2: Convert to fraction form
   2,508.66/3,462.72 = 1,447.14/x
3. Step 3: Cross multiply
   2,508.66x = 3,462.72 × 1,447.14
4. Step 4: Simplify right side
   2,508.66x = 5,011,023.31
5. Step 5: Solve for x
   x = 5,011,023.31/2,508.66
6. Step 6: Final answer
   x = 1,997.49