Finding the Fourth Proportional to 1,414.96, 1,952.76 and 785.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.96 : 1,952.76 = 785.55 : x
2. Step 2: Convert to fraction form
   1,414.96/1,952.76 = 785.55/x
3. Step 3: Cross multiply
   1,414.96x = 1,952.76 × 785.55
4. Step 4: Simplify right side
   1,414.96x = 1,533,990.62
5. Step 5: Solve for x
   x = 1,533,990.62/1,414.96
6. Step 6: Final answer
   x = 1,084.12