Finding the Fourth Proportional to 10,440.72, 15,641.46 and 5,169.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440.72 : 15,641.46 = 5,169.60 : x
2. Step 2: Convert to fraction form
   10,440.72/15,641.46 = 5,169.60/x
3. Step 3: Cross multiply
   10,440.72x = 15,641.46 × 5,169.60
4. Step 4: Simplify right side
   10,440.72x = 80,860,091.62
5. Step 5: Solve for x
   x = 80,860,091.62/10,440.72
6. Step 6: Final answer
   x = 7,744.69