Finding the Fourth Proportional to 9,296.06, 12,829.25 and 5,759.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296.06 : 12,829.25 = 5,759.96 : x
2. Step 2: Convert to fraction form
   9,296.06/12,829.25 = 5,759.96/x
3. Step 3: Cross multiply
   9,296.06x = 12,829.25 × 5,759.96
4. Step 4: Simplify right side
   9,296.06x = 73,896,013.30
5. Step 5: Solve for x
   x = 73,896,013.30/9,296.06
6. Step 6: Final answer
   x = 7,949.17