Finding the Fourth Proportional to 2,066.20, 3,097.86 and 767.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.20 : 3,097.86 = 767.32 : x
2. Step 2: Convert to fraction form
   2,066.20/3,097.86 = 767.32/x
3. Step 3: Cross multiply
   2,066.20x = 3,097.86 × 767.32
4. Step 4: Simplify right side
   2,066.20x = 2,377,049.94
5. Step 5: Solve for x
   x = 2,377,049.94/2,066.20
6. Step 6: Final answer
   x = 1,150.45