Finding the Fourth Proportional to 9,296.75, 12,829.61 and 5,105.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.75 : 12,829.61 = 5,105.09 : x
2. Step 2: Convert to fraction form
   9,296.75/12,829.61 = 5,105.09/x
3. Step 3: Cross multiply
   9,296.75x = 12,829.61 × 5,105.09
4. Step 4: Simplify right side
   9,296.75x = 65,496,288.19
5. Step 5: Solve for x
   x = 65,496,288.19/9,296.75
6. Step 6: Final answer
   x = 7,045.07