Finding the Fourth Proportional to 2,066.16, 3,097.02 and 766.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.16 : 3,097.02 = 766.92 : x
2. Step 2: Convert to fraction form
   2,066.16/3,097.02 = 766.92/x
3. Step 3: Cross multiply
   2,066.16x = 3,097.02 × 766.92
4. Step 4: Simplify right side
   2,066.16x = 2,375,166.58
5. Step 5: Solve for x
   x = 2,375,166.58/2,066.16
6. Step 6: Final answer
   x = 1,149.56