Finding the Fourth Proportional to 9,608.76, 13,259.34 and 5,629.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.76 : 13,259.34 = 5,629.32 : x
2. Step 2: Convert to fraction form
   9,608.76/13,259.34 = 5,629.32/x
3. Step 3: Cross multiply
   9,608.76x = 13,259.34 × 5,629.32
4. Step 4: Simplify right side
   9,608.76x = 74,641,067.85
5. Step 5: Solve for x
   x = 74,641,067.85/9,608.76
6. Step 6: Final answer
   x = 7,768.02