Finding the Fourth Proportional to 3,882.58, 5,823.72 and 960.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882.58 : 5,823.72 = 960.82 : x
2. Step 2: Convert to fraction form
   3,882.58/5,823.72 = 960.82/x
3. Step 3: Cross multiply
   3,882.58x = 5,823.72 × 960.82
4. Step 4: Simplify right side
   3,882.58x = 5,595,546.65
5. Step 5: Solve for x
   x = 5,595,546.65/3,882.58
6. Step 6: Final answer
   x = 1,441.19