Finding the Fourth Proportional to 10,442.72, 15,644.46 and 5,171.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.72 : 15,644.46 = 5,171.60 : x
2. Step 2: Convert to fraction form
   10,442.72/15,644.46 = 5,171.60/x
3. Step 3: Cross multiply
   10,442.72x = 15,644.46 × 5,171.60
4. Step 4: Simplify right side
   10,442.72x = 80,906,889.34
5. Step 5: Solve for x
   x = 80,906,889.34/10,442.72
6. Step 6: Final answer
   x = 7,747.68