Finding the Fourth Proportional to 766.36, 1,150.71 and 675.82

Step by Step Solution

1. Step 1: Write the proportion equation
   766.36 : 1,150.71 = 675.82 : x
2. Step 2: Convert to fraction form
   766.36/1,150.71 = 675.82/x
3. Step 3: Cross multiply
   766.36x = 1,150.71 × 675.82
4. Step 4: Simplify right side
   766.36x = 777,672.83
5. Step 5: Solve for x
   x = 777,672.83/766.36
6. Step 6: Final answer
   x = 1,014.76