Finding the Fourth Proportional to 1,414.53, 1,952.04 and 785.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.53 : 1,952.04 = 785.04 : x
2. Step 2: Convert to fraction form
   1,414.53/1,952.04 = 785.04/x
3. Step 3: Cross multiply
   1,414.53x = 1,952.04 × 785.04
4. Step 4: Simplify right side
   1,414.53x = 1,532,419.72
5. Step 5: Solve for x
   x = 1,532,419.72/1,414.53
6. Step 6: Final answer
   x = 1,083.35