Finding the Fourth Proportional to 9,168.50, 12,655.81 and 5,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,168.50 : 12,655.81 = 5,442.50 : x
2. Step 2: Convert to fraction form
   9,168.50/12,655.81 = 5,442.50/x
3. Step 3: Cross multiply
   9,168.50x = 12,655.81 × 5,442.50
4. Step 4: Simplify right side
   9,168.50x = 68,879,245.93
5. Step 5: Solve for x
   x = 68,879,245.93/9,168.50
6. Step 6: Final answer
   x = 7,512.60