Finding the Fourth Proportional to 1,414.16, 1,951.66 and 784.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.16 : 1,951.66 = 784.89 : x
2. Step 2: Convert to fraction form
   1,414.16/1,951.66 = 784.89/x
3. Step 3: Cross multiply
   1,414.16x = 1,951.66 × 784.89
4. Step 4: Simplify right side
   1,414.16x = 1,531,824.73
5. Step 5: Solve for x
   x = 1,531,824.73/1,414.16
6. Step 6: Final answer
   x = 1,083.21