Finding the Fourth Proportional to 1,414.40, 1,951.87 and 785.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.40 : 1,951.87 = 785.02 : x
2. Step 2: Convert to fraction form
   1,414.40/1,951.87 = 785.02/x
3. Step 3: Cross multiply
   1,414.40x = 1,951.87 × 785.02
4. Step 4: Simplify right side
   1,414.40x = 1,532,259.90
5. Step 5: Solve for x
   x = 1,532,259.90/1,414.40
6. Step 6: Final answer
   x = 1,083.33