Finding the Fourth Proportional to 9,144, 12,617.71 and 5,164.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,144 : 12,617.71 = 5,164.27 : x
2. Step 2: Convert to fraction form
   9,144/12,617.71 = 5,164.27/x
3. Step 3: Cross multiply
   9,144x = 12,617.71 × 5,164.27
4. Step 4: Simplify right side
   9,144x = 65,161,216.77
5. Step 5: Solve for x
   x = 65,161,216.77/9,144
6. Step 6: Final answer
   x = 7,126.12