Finding the Fourth Proportional to 11,614.82, 16,020.25 and 7,141.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,614.82 : 16,020.25 = 7,141.10 : x
2. Step 2: Convert to fraction form
   11,614.82/16,020.25 = 7,141.10/x
3. Step 3: Cross multiply
   11,614.82x = 16,020.25 × 7,141.10
4. Step 4: Simplify right side
   11,614.82x = 114,402,109.32
5. Step 5: Solve for x
   x = 114,402,109.32/11,614.82
6. Step 6: Final answer
   x = 9,849.67