Finding the Fourth Proportional to 9,185.09, 12,673.91 and 5,205.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.09 : 12,673.91 = 5,205.96 : x
2. Step 2: Convert to fraction form
   9,185.09/12,673.91 = 5,205.96/x
3. Step 3: Cross multiply
   9,185.09x = 12,673.91 × 5,205.96
4. Step 4: Simplify right side
   9,185.09x = 65,979,842.47
5. Step 5: Solve for x
   x = 65,979,842.47/9,185.09
6. Step 6: Final answer
   x = 7,183.37