Finding the Fourth Proportional to 9,728.67, 13,426.25 and 5,536.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.67 : 13,426.25 = 5,536.92 : x
2. Step 2: Convert to fraction form
   9,728.67/13,426.25 = 5,536.92/x
3. Step 3: Cross multiply
   9,728.67x = 13,426.25 × 5,536.92
4. Step 4: Simplify right side
   9,728.67x = 74,340,044.47
5. Step 5: Solve for x
   x = 74,340,044.47/9,728.67
6. Step 6: Final answer
   x = 7,641.34