Finding the Fourth Proportional to 2,665.31, 3,993.10 and 1,964.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.31 : 3,993.10 = 1,964.25 : x
2. Step 2: Convert to fraction form
   2,665.31/3,993.10 = 1,964.25/x
3. Step 3: Cross multiply
   2,665.31x = 3,993.10 × 1,964.25
4. Step 4: Simplify right side
   2,665.31x = 7,843,441.76
5. Step 5: Solve for x
   x = 7,843,441.76/2,665.31
6. Step 6: Final answer
   x = 2,942.79