Finding the Fourth Proportional to 1,414.78, 1,952.39 and 785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.78 : 1,952.39 = 785.30 : x
2. Step 2: Convert to fraction form
   1,414.78/1,952.39 = 785.30/x
3. Step 3: Cross multiply
   1,414.78x = 1,952.39 × 785.30
4. Step 4: Simplify right side
   1,414.78x = 1,533,207.94
5. Step 5: Solve for x
   x = 1,533,207.94/1,414.78
6. Step 6: Final answer
   x = 1,083.71