Finding the Fourth Proportional to 9,728.50, 13,425.96 and 5,536.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.50 : 13,425.96 = 5,536.75 : x
2. Step 2: Convert to fraction form
   9,728.50/13,425.96 = 5,536.75/x
3. Step 3: Cross multiply
   9,728.50x = 13,425.96 × 5,536.75
4. Step 4: Simplify right side
   9,728.50x = 74,336,184.03
5. Step 5: Solve for x
   x = 74,336,184.03/9,728.50
6. Step 6: Final answer
   x = 7,641.07