Finding the Fourth Proportional to 1,414.12, 1,951.52 and 784.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.12 : 1,951.52 = 784.61 : x
2. Step 2: Convert to fraction form
   1,414.12/1,951.52 = 784.61/x
3. Step 3: Cross multiply
   1,414.12x = 1,951.52 × 784.61
4. Step 4: Simplify right side
   1,414.12x = 1,531,183.06
5. Step 5: Solve for x
   x = 1,531,183.06/1,414.12
6. Step 6: Final answer
   x = 1,082.78