Finding the Fourth Proportional to 9,728.10, 13,424.86 and 5,536.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.10 : 13,424.86 = 5,536.62 : x
2. Step 2: Convert to fraction form
   9,728.10/13,424.86 = 5,536.62/x
3. Step 3: Cross multiply
   9,728.10x = 13,424.86 × 5,536.62
4. Step 4: Simplify right side
   9,728.10x = 74,328,348.37
5. Step 5: Solve for x
   x = 74,328,348.37/9,728.10
6. Step 6: Final answer
   x = 7,640.58