Finding the Fourth Proportional to 9,548.93, 14,327.69 and 5,161.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,548.93 : 14,327.69 = 5,161.25 : x
2. Step 2: Convert to fraction form
   9,548.93/14,327.69 = 5,161.25/x
3. Step 3: Cross multiply
   9,548.93x = 14,327.69 × 5,161.25
4. Step 4: Simplify right side
   9,548.93x = 73,948,692.57
5. Step 5: Solve for x
   x = 73,948,692.57/9,548.93
6. Step 6: Final answer
   x = 7,744.19