Finding the Fourth Proportional to 1,414.77, 1,952.61 and 785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.77 : 1,952.61 = 785.50 : x
2. Step 2: Convert to fraction form
   1,414.77/1,952.61 = 785.50/x
3. Step 3: Cross multiply
   1,414.77x = 1,952.61 × 785.50
4. Step 4: Simplify right side
   1,414.77x = 1,533,773.22
5. Step 5: Solve for x
   x = 1,533,773.22/1,414.77
6. Step 6: Final answer
   x = 1,084.12