Finding the Fourth Proportional to 10,729.43, 16,097.63 and 5,183.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,729.43 : 16,097.63 = 5,183.41 : x
2. Step 2: Convert to fraction form
   10,729.43/16,097.63 = 5,183.41/x
3. Step 3: Cross multiply
   10,729.43x = 16,097.63 × 5,183.41
4. Step 4: Simplify right side
   10,729.43x = 83,440,509.91
5. Step 5: Solve for x
   x = 83,440,509.91/10,729.43
6. Step 6: Final answer
   x = 7,776.79