Finding the Fourth Proportional to 1,280.33, 1,766.89 and 782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,280.33 : 1,766.89 = 782.96 : x
2. Step 2: Convert to fraction form
   1,280.33/1,766.89 = 782.96/x
3. Step 3: Cross multiply
   1,280.33x = 1,766.89 × 782.96
4. Step 4: Simplify right side
   1,280.33x = 1,383,397.82
5. Step 5: Solve for x
   x = 1,383,397.82/1,280.33
6. Step 6: Final answer
   x = 1,080.50