Finding the Fourth Proportional to 2,297.93, 3,172.25 and 1,414.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.93 : 3,172.25 = 1,414.49 : x
2. Step 2: Convert to fraction form
   2,297.93/3,172.25 = 1,414.49/x
3. Step 3: Cross multiply
   2,297.93x = 3,172.25 × 1,414.49
4. Step 4: Simplify right side
   2,297.93x = 4,487,108.83
5. Step 5: Solve for x
   x = 4,487,108.83/2,297.93
6. Step 6: Final answer
   x = 1,952.67