Finding the Fourth Proportional to 2,065.76, 3,096.81 and 766.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.76 : 3,096.81 = 766.38 : x
2. Step 2: Convert to fraction form
   2,065.76/3,096.81 = 766.38/x
3. Step 3: Cross multiply
   2,065.76x = 3,096.81 × 766.38
4. Step 4: Simplify right side
   2,065.76x = 2,373,333.25
5. Step 5: Solve for x
   x = 2,373,333.25/2,065.76
6. Step 6: Final answer
   x = 1,148.89