Finding the Fourth Proportional to 1,414.09, 1,951.43 and 784.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.09 : 1,951.43 = 784.62 : x
2. Step 2: Convert to fraction form
   1,414.09/1,951.43 = 784.62/x
3. Step 3: Cross multiply
   1,414.09x = 1,951.43 × 784.62
4. Step 4: Simplify right side
   1,414.09x = 1,531,131.01
5. Step 5: Solve for x
   x = 1,531,131.01/1,414.09
6. Step 6: Final answer
   x = 1,082.77