Finding the Fourth Proportional to 809.57, 1,118.56 and 778.82

Step by Step Solution

1. Step 1: Write the proportion equation
   809.57 : 1,118.56 = 778.82 : x
2. Step 2: Convert to fraction form
   809.57/1,118.56 = 778.82/x
3. Step 3: Cross multiply
   809.57x = 1,118.56 × 778.82
4. Step 4: Simplify right side
   809.57x = 871,150.82
5. Step 5: Solve for x
   x = 871,150.82/809.57
6. Step 6: Final answer
   x = 1,076.07