Finding the Fourth Proportional to 9,144.29, 12,619.19 and 5,164.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144.29 : 12,619.19 = 5,164.56 : x
2. Step 2: Convert to fraction form
   9,144.29/12,619.19 = 5,164.56/x
3. Step 3: Cross multiply
   9,144.29x = 12,619.19 × 5,164.56
4. Step 4: Simplify right side
   9,144.29x = 65,172,576.82
5. Step 5: Solve for x
   x = 65,172,576.82/9,144.29
6. Step 6: Final answer
   x = 7,127.13