Finding the Fourth Proportional to 9,608.82, 13,261.92 and 5,578.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.82 : 13,261.92 = 5,578.22 : x
2. Step 2: Convert to fraction form
   9,608.82/13,261.92 = 5,578.22/x
3. Step 3: Cross multiply
   9,608.82x = 13,261.92 × 5,578.22
4. Step 4: Simplify right side
   9,608.82x = 73,977,907.38
5. Step 5: Solve for x
   x = 73,977,907.38/9,608.82
6. Step 6: Final answer
   x = 7,698.96