Finding the Fourth Proportional to 2,297.68, 3,171.90 and 1,414.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.68 : 3,171.90 = 1,414.24 : x
2. Step 2: Convert to fraction form
   2,297.68/3,171.90 = 1,414.24/x
3. Step 3: Cross multiply
   2,297.68x = 3,171.90 × 1,414.24
4. Step 4: Simplify right side
   2,297.68x = 4,485,827.86
5. Step 5: Solve for x
   x = 4,485,827.86/2,297.68
6. Step 6: Final answer
   x = 1,952.33