Finding the Fourth Proportional to 9,171.72, 12,657.42 and 5,193

Step by Step Solution

1. Step 1: Write the proportion equation
   9,171.72 : 12,657.42 = 5,193 : x
2. Step 2: Convert to fraction form
   9,171.72/12,657.42 = 5,193/x
3. Step 3: Cross multiply
   9,171.72x = 12,657.42 × 5,193
4. Step 4: Simplify right side
   9,171.72x = 65,729,982.06
5. Step 5: Solve for x
   x = 65,729,982.06/9,171.72
6. Step 6: Final answer
   x = 7,166.59