Finding the Fourth Proportional to 9,296.38, 12,829.69 and 5,760.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.38 : 12,829.69 = 5,760.28 : x
2. Step 2: Convert to fraction form
   9,296.38/12,829.69 = 5,760.28/x
3. Step 3: Cross multiply
   9,296.38x = 12,829.69 × 5,760.28
4. Step 4: Simplify right side
   9,296.38x = 73,902,513.76
5. Step 5: Solve for x
   x = 73,902,513.76/9,296.38
6. Step 6: Final answer
   x = 7,949.61