Finding the Fourth Proportional to 13,009, 17,960.16 and 8,540.57

Step by Step Solution

1. Step 1: Write the proportion equation
   13,009 : 17,960.16 = 8,540.57 : x
2. Step 2: Convert to fraction form
   13,009/17,960.16 = 8,540.57/x
3. Step 3: Cross multiply
   13,009x = 17,960.16 × 8,540.57
4. Step 4: Simplify right side
   13,009x = 153,390,003.69
5. Step 5: Solve for x
   x = 153,390,003.69/13,009
6. Step 6: Final answer
   x = 11,791.07