Finding the Fourth Proportional to 11,616.82, 16,023 and 7,143.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616.82 : 16,023 = 7,143.10 : x
2. Step 2: Convert to fraction form
   11,616.82/16,023 = 7,143.10/x
3. Step 3: Cross multiply
   11,616.82x = 16,023 × 7,143.10
4. Step 4: Simplify right side
   11,616.82x = 114,453,891.30
5. Step 5: Solve for x
   x = 114,453,891.30/11,616.82
6. Step 6: Final answer
   x = 9,852.43