Finding the Fourth Proportional to 2,609.82, 3,914.67 and 966.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.82 : 3,914.67 = 966.18 : x
2. Step 2: Convert to fraction form
   2,609.82/3,914.67 = 966.18/x
3. Step 3: Cross multiply
   2,609.82x = 3,914.67 × 966.18
4. Step 4: Simplify right side
   2,609.82x = 3,782,275.86
5. Step 5: Solve for x
   x = 3,782,275.86/2,609.82
6. Step 6: Final answer
   x = 1,449.25