Finding the Fourth Proportional to 1,414.72, 2,120.14 and 1,067.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.72 : 2,120.14 = 1,067.76 : x
2. Step 2: Convert to fraction form
   1,414.72/2,120.14 = 1,067.76/x
3. Step 3: Cross multiply
   1,414.72x = 2,120.14 × 1,067.76
4. Step 4: Simplify right side
   1,414.72x = 2,263,800.69
5. Step 5: Solve for x
   x = 2,263,800.69/1,414.72
6. Step 6: Final answer
   x = 1,600.18