Finding the Fourth Proportional to 2,297.78, 3,171.06 and 1,414.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.78 : 3,171.06 = 1,414.52 : x
2. Step 2: Convert to fraction form
   2,297.78/3,171.06 = 1,414.52/x
3. Step 3: Cross multiply
   2,297.78x = 3,171.06 × 1,414.52
4. Step 4: Simplify right side
   2,297.78x = 4,485,527.79
5. Step 5: Solve for x
   x = 4,485,527.79/2,297.78
6. Step 6: Final answer
   x = 1,952.11