Finding the Fourth Proportional to 796.82, 1,189.69 and 747.61

Step by Step Solution

1. Step 1: Write the proportion equation
   796.82 : 1,189.69 = 747.61 : x
2. Step 2: Convert to fraction form
   796.82/1,189.69 = 747.61/x
3. Step 3: Cross multiply
   796.82x = 1,189.69 × 747.61
4. Step 4: Simplify right side
   796.82x = 889,419.30
5. Step 5: Solve for x
   x = 889,419.30/796.82
6. Step 6: Final answer
   x = 1,116.22