Finding the Fourth Proportional to 1,414.16, 1,951.43 and 854.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.16 : 1,951.43 = 854.63 : x
2. Step 2: Convert to fraction form
   1,414.16/1,951.43 = 854.63/x
3. Step 3: Cross multiply
   1,414.16x = 1,951.43 × 854.63
4. Step 4: Simplify right side
   1,414.16x = 1,667,736.59
5. Step 5: Solve for x
   x = 1,667,736.59/1,414.16
6. Step 6: Final answer
   x = 1,179.32