Finding the Fourth Proportional to 11,664.82, 16,097.78 and 7,128.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664.82 : 16,097.78 = 7,128.24 : x
2. Step 2: Convert to fraction form
   11,664.82/16,097.78 = 7,128.24/x
3. Step 3: Cross multiply
   11,664.82x = 16,097.78 × 7,128.24
4. Step 4: Simplify right side
   11,664.82x = 114,748,839.31
5. Step 5: Solve for x
   x = 114,748,839.31/11,664.82
6. Step 6: Final answer
   x = 9,837.17