Finding the Fourth Proportional to 1,299.78, 1,793.82 and 768.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,299.78 : 1,793.82 = 768.72 : x
2. Step 2: Convert to fraction form
   1,299.78/1,793.82 = 768.72/x
3. Step 3: Cross multiply
   1,299.78x = 1,793.82 × 768.72
4. Step 4: Simplify right side
   1,299.78x = 1,378,945.31
5. Step 5: Solve for x
   x = 1,378,945.31/1,299.78
6. Step 6: Final answer
   x = 1,060.91