Finding the Fourth Proportional to 1,414.26, 1,951.68 and 784.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.26 : 1,951.68 = 784.74 : x
2. Step 2: Convert to fraction form
   1,414.26/1,951.68 = 784.74/x
3. Step 3: Cross multiply
   1,414.26x = 1,951.68 × 784.74
4. Step 4: Simplify right side
   1,414.26x = 1,531,571.62
5. Step 5: Solve for x
   x = 1,531,571.62/1,414.26
6. Step 6: Final answer
   x = 1,082.95