Finding the Fourth Proportional to 2,291.24, 3,429.09 and 1,414.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,291.24 : 3,429.09 = 1,414.33 : x
2. Step 2: Convert to fraction form
   2,291.24/3,429.09 = 1,414.33/x
3. Step 3: Cross multiply
   2,291.24x = 3,429.09 × 1,414.33
4. Step 4: Simplify right side
   2,291.24x = 4,849,856.29
5. Step 5: Solve for x
   x = 4,849,856.29/2,291.24
6. Step 6: Final answer
   x = 2,116.69