Finding the Fourth Proportional to 10,665.09, 14,717.57 and 6,189.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665.09 : 14,717.57 = 6,189.21 : x
2. Step 2: Convert to fraction form
   10,665.09/14,717.57 = 6,189.21/x
3. Step 3: Cross multiply
   10,665.09x = 14,717.57 × 6,189.21
4. Step 4: Simplify right side
   10,665.09x = 91,090,100.47
5. Step 5: Solve for x
   x = 91,090,100.47/10,665.09
6. Step 6: Final answer
   x = 8,540.96