Finding the Fourth Proportional to 796.52, 1,185.01 and 765.80

Step by Step Solution

1. Step 1: Write the proportion equation
   796.52 : 1,185.01 = 765.80 : x
2. Step 2: Convert to fraction form
   796.52/1,185.01 = 765.80/x
3. Step 3: Cross multiply
   796.52x = 1,185.01 × 765.80
4. Step 4: Simplify right side
   796.52x = 907,480.66
5. Step 5: Solve for x
   x = 907,480.66/796.52
6. Step 6: Final answer
   x = 1,139.31