Finding the Fourth Proportional to 9,744.34, 14,614.07 and 3,822.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.34 : 14,614.07 = 3,822.43 : x
2. Step 2: Convert to fraction form
   9,744.34/14,614.07 = 3,822.43/x
3. Step 3: Cross multiply
   9,744.34x = 14,614.07 × 3,822.43
4. Step 4: Simplify right side
   9,744.34x = 55,861,186.52
5. Step 5: Solve for x
   x = 55,861,186.52/9,744.34
6. Step 6: Final answer
   x = 5,732.68