Finding the Fourth Proportional to 9,184.47, 12,674.25 and 5,205.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,184.47 : 12,674.25 = 5,205.48 : x
2. Step 2: Convert to fraction form
   9,184.47/12,674.25 = 5,205.48/x
3. Step 3: Cross multiply
   9,184.47x = 12,674.25 × 5,205.48
4. Step 4: Simplify right side
   9,184.47x = 65,975,554.89
5. Step 5: Solve for x
   x = 65,975,554.89/9,184.47
6. Step 6: Final answer
   x = 7,183.38