Finding the Fourth Proportional to 2,065.26, 3,096.49 and 766.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.26 : 3,096.49 = 766.02 : x
2. Step 2: Convert to fraction form
   2,065.26/3,096.49 = 766.02/x
3. Step 3: Cross multiply
   2,065.26x = 3,096.49 × 766.02
4. Step 4: Simplify right side
   2,065.26x = 2,371,973.27
5. Step 5: Solve for x
   x = 2,371,973.27/2,065.26
6. Step 6: Final answer
   x = 1,148.51