Finding the Fourth Proportional to 9,184.29, 12,674.59 and 5,205.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,184.29 : 12,674.59 = 5,205.27 : x
2. Step 2: Convert to fraction form
   9,184.29/12,674.59 = 5,205.27/x
3. Step 3: Cross multiply
   9,184.29x = 12,674.59 × 5,205.27
4. Step 4: Simplify right side
   9,184.29x = 65,974,650.08
5. Step 5: Solve for x
   x = 65,974,650.08/9,184.29
6. Step 6: Final answer
   x = 7,183.42