Finding the Fourth Proportional to 1,293.24, 1,784.82 and 769.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.24 : 1,784.82 = 769.28 : x
2. Step 2: Convert to fraction form
   1,293.24/1,784.82 = 769.28/x
3. Step 3: Cross multiply
   1,293.24x = 1,784.82 × 769.28
4. Step 4: Simplify right side
   1,293.24x = 1,373,026.33
5. Step 5: Solve for x
   x = 1,373,026.33/1,293.24
6. Step 6: Final answer
   x = 1,061.69