Finding the Fourth Proportional to 10,144.96, 15,204.88 and 5,749.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144.96 : 15,204.88 = 5,749.09 : x
2. Step 2: Convert to fraction form
   10,144.96/15,204.88 = 5,749.09/x
3. Step 3: Cross multiply
   10,144.96x = 15,204.88 × 5,749.09
4. Step 4: Simplify right side
   10,144.96x = 87,414,223.56
5. Step 5: Solve for x
   x = 87,414,223.56/10,144.96
6. Step 6: Final answer
   x = 8,616.52