Finding the Fourth Proportional to 1,414.20, 1,951.50 and 784.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.20 : 1,951.50 = 784.68 : x
2. Step 2: Convert to fraction form
   1,414.20/1,951.50 = 784.68/x
3. Step 3: Cross multiply
   1,414.20x = 1,951.50 × 784.68
4. Step 4: Simplify right side
   1,414.20x = 1,531,303.02
5. Step 5: Solve for x
   x = 1,531,303.02/1,414.20
6. Step 6: Final answer
   x = 1,082.81