Finding the Fourth Proportional to 9,728.42, 13,425.23 and 5,536.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.42 : 13,425.23 = 5,536.67 : x
2. Step 2: Convert to fraction form
   9,728.42/13,425.23 = 5,536.67/x
3. Step 3: Cross multiply
   9,728.42x = 13,425.23 × 5,536.67
4. Step 4: Simplify right side
   9,728.42x = 74,331,040.50
5. Step 5: Solve for x
   x = 74,331,040.50/9,728.42
6. Step 6: Final answer
   x = 7,640.61