Finding the Fourth Proportional to 9,564.22, 14,324.69 and 5,114.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.22 : 14,324.69 = 5,114.03 : x
2. Step 2: Convert to fraction form
   9,564.22/14,324.69 = 5,114.03/x
3. Step 3: Cross multiply
   9,564.22x = 14,324.69 × 5,114.03
4. Step 4: Simplify right side
   9,564.22x = 73,256,835.56
5. Step 5: Solve for x
   x = 73,256,835.56/9,564.22
6. Step 6: Final answer
   x = 7,659.47