Finding the Fourth Proportional to 11,638, 16,058.82 and 7,162.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11,638 : 16,058.82 = 7,162.48 : x
2. Step 2: Convert to fraction form
   11,638/16,058.82 = 7,162.48/x
3. Step 3: Cross multiply
   11,638x = 16,058.82 × 7,162.48
4. Step 4: Simplify right side
   11,638x = 115,020,977.07
5. Step 5: Solve for x
   x = 115,020,977.07/11,638
6. Step 6: Final answer
   x = 9,883.23