Finding the Fourth Proportional to 21,097.50, 29,114.56 and 11,666

Step by Step Solution

1. Step 1: Write the proportion equation
   21,097.50 : 29,114.56 = 11,666 : x
2. Step 2: Convert to fraction form
   21,097.50/29,114.56 = 11,666/x
3. Step 3: Cross multiply
   21,097.50x = 29,114.56 × 11,666
4. Step 4: Simplify right side
   21,097.50x = 339,650,456.96
5. Step 5: Solve for x
   x = 339,650,456.96/21,097.50
6. Step 6: Final answer
   x = 16,099.09