Finding the Fourth Proportional to 2,609.69, 3,914.53 and 760.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.69 : 3,914.53 = 760.76 : x
2. Step 2: Convert to fraction form
   2,609.69/3,914.53 = 760.76/x
3. Step 3: Cross multiply
   2,609.69x = 3,914.53 × 760.76
4. Step 4: Simplify right side
   2,609.69x = 2,978,025.73
5. Step 5: Solve for x
   x = 2,978,025.73/2,609.69
6. Step 6: Final answer
   x = 1,141.14