Finding the Fourth Proportional to 9,141.24, 12,614.22 and 5,161.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,141.24 : 12,614.22 = 5,161.80 : x
2. Step 2: Convert to fraction form
   9,141.24/12,614.22 = 5,161.80/x
3. Step 3: Cross multiply
   9,141.24x = 12,614.22 × 5,161.80
4. Step 4: Simplify right side
   9,141.24x = 65,112,080.80
5. Step 5: Solve for x
   x = 65,112,080.80/9,141.24
6. Step 6: Final answer
   x = 7,122.89