Finding the Fourth Proportional to 9,728.92, 13,426.59 and 5,537.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728.92 : 13,426.59 = 5,537.17 : x
2. Step 2: Convert to fraction form
   9,728.92/13,426.59 = 5,537.17/x
3. Step 3: Cross multiply
   9,728.92x = 13,426.59 × 5,537.17
4. Step 4: Simplify right side
   9,728.92x = 74,345,311.35
5. Step 5: Solve for x
   x = 74,345,311.35/9,728.92
6. Step 6: Final answer
   x = 7,641.68