Finding the Fourth Proportional to 2,065.82, 3,097.28 and 766.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.82 : 3,097.28 = 766.94 : x
2. Step 2: Convert to fraction form
   2,065.82/3,097.28 = 766.94/x
3. Step 3: Cross multiply
   2,065.82x = 3,097.28 × 766.94
4. Step 4: Simplify right side
   2,065.82x = 2,375,427.92
5. Step 5: Solve for x
   x = 2,375,427.92/2,065.82
6. Step 6: Final answer
   x = 1,149.87