Finding the Fourth Proportional to 1,414.94, 1,952.60 and 785.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.94 : 1,952.60 = 785.47 : x
2. Step 2: Convert to fraction form
   1,414.94/1,952.60 = 785.47/x
3. Step 3: Cross multiply
   1,414.94x = 1,952.60 × 785.47
4. Step 4: Simplify right side
   1,414.94x = 1,533,708.72
5. Step 5: Solve for x
   x = 1,533,708.72/1,414.94
6. Step 6: Final answer
   x = 1,083.94