Finding the Fourth Proportional to 9,723.82, 14,592.81 and 3,882.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,723.82 : 14,592.81 = 3,882.10 : x
2. Step 2: Convert to fraction form
   9,723.82/14,592.81 = 3,882.10/x
3. Step 3: Cross multiply
   9,723.82x = 14,592.81 × 3,882.10
4. Step 4: Simplify right side
   9,723.82x = 56,650,747.70
5. Step 5: Solve for x
   x = 56,650,747.70/9,723.82
6. Step 6: Final answer
   x = 5,825.98