Finding the Fourth Proportional to 5,949.24, 8,213.72 and 3,825.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,949.24 : 8,213.72 = 3,825.76 : x
2. Step 2: Convert to fraction form
   5,949.24/8,213.72 = 3,825.76/x
3. Step 3: Cross multiply
   5,949.24x = 8,213.72 × 3,825.76
4. Step 4: Simplify right side
   5,949.24x = 31,423,721.43
5. Step 5: Solve for x
   x = 31,423,721.43/5,949.24
6. Step 6: Final answer
   x = 5,281.97