Finding the Fourth Proportional to 1,294.89, 1,786.98 and 770.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.89 : 1,786.98 = 770.82 : x
2. Step 2: Convert to fraction form
   1,294.89/1,786.98 = 770.82/x
3. Step 3: Cross multiply
   1,294.89x = 1,786.98 × 770.82
4. Step 4: Simplify right side
   1,294.89x = 1,377,439.92
5. Step 5: Solve for x
   x = 1,377,439.92/1,294.89
6. Step 6: Final answer
   x = 1,063.75