Finding the Fourth Proportional to 2,065.76, 3,097.24 and 766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.76 : 3,097.24 = 766.52 : x
2. Step 2: Convert to fraction form
   2,065.76/3,097.24 = 766.52/x
3. Step 3: Cross multiply
   2,065.76x = 3,097.24 × 766.52
4. Step 4: Simplify right side
   2,065.76x = 2,374,096.40
5. Step 5: Solve for x
   x = 2,374,096.40/2,065.76
6. Step 6: Final answer
   x = 1,149.26