Finding the Fourth Proportional to 9,544.73, 14,301.71 and 5,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,544.73 : 14,301.71 = 5,164.25 : x
2. Step 2: Convert to fraction form
   9,544.73/14,301.71 = 5,164.25/x
3. Step 3: Cross multiply
   9,544.73x = 14,301.71 × 5,164.25
4. Step 4: Simplify right side
   9,544.73x = 73,857,580.05
5. Step 5: Solve for x
   x = 73,857,580.05/9,544.73
6. Step 6: Final answer
   x = 7,738.05