Finding the Fourth Proportional to 1,282.38, 1,769.71 and 778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.38 : 1,769.71 = 778.25 : x
2. Step 2: Convert to fraction form
   1,282.38/1,769.71 = 778.25/x
3. Step 3: Cross multiply
   1,282.38x = 1,769.71 × 778.25
4. Step 4: Simplify right side
   1,282.38x = 1,377,269.40
5. Step 5: Solve for x
   x = 1,377,269.40/1,282.38
6. Step 6: Final answer
   x = 1,073.99