Finding the Fourth Proportional to 1,414.25, 1,951.60 and 784.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.25 : 1,951.60 = 784.78 : x
2. Step 2: Convert to fraction form
   1,414.25/1,951.60 = 784.78/x
3. Step 3: Cross multiply
   1,414.25x = 1,951.60 × 784.78
4. Step 4: Simplify right side
   1,414.25x = 1,531,576.65
5. Step 5: Solve for x
   x = 1,531,576.65/1,414.25
6. Step 6: Final answer
   x = 1,082.96