Finding the Fourth Proportional to 2,609.82, 3,914.31 and 965.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.82 : 3,914.31 = 965.99 : x
2. Step 2: Convert to fraction form
   2,609.82/3,914.31 = 965.99/x
3. Step 3: Cross multiply
   2,609.82x = 3,914.31 × 965.99
4. Step 4: Simplify right side
   2,609.82x = 3,781,184.32
5. Step 5: Solve for x
   x = 3,781,184.32/2,609.82
6. Step 6: Final answer
   x = 1,448.83