Finding the Fourth Proportional to 3,882.34, 5,823.35 and 960.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882.34 : 5,823.35 = 960.57 : x
2. Step 2: Convert to fraction form
   3,882.34/5,823.35 = 960.57/x
3. Step 3: Cross multiply
   3,882.34x = 5,823.35 × 960.57
4. Step 4: Simplify right side
   3,882.34x = 5,593,735.31
5. Step 5: Solve for x
   x = 5,593,735.31/3,882.34
6. Step 6: Final answer
   x = 1,440.82