Finding the Fourth Proportional to 9,164.12, 12,644.38 and 5,184.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.12 : 12,644.38 = 5,184.38 : x
2. Step 2: Convert to fraction form
   9,164.12/12,644.38 = 5,184.38/x
3. Step 3: Cross multiply
   9,164.12x = 12,644.38 × 5,184.38
4. Step 4: Simplify right side
   9,164.12x = 65,553,270.78
5. Step 5: Solve for x
   x = 65,553,270.78/9,164.12
6. Step 6: Final answer
   x = 7,153.25