Finding the Fourth Proportional to 1,414.23, 1,951.36 and 784.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.23 : 1,951.36 = 784.73 : x
2. Step 2: Convert to fraction form
   1,414.23/1,951.36 = 784.73/x
3. Step 3: Cross multiply
   1,414.23x = 1,951.36 × 784.73
4. Step 4: Simplify right side
   1,414.23x = 1,531,290.73
5. Step 5: Solve for x
   x = 1,531,290.73/1,414.23
6. Step 6: Final answer
   x = 1,082.77