Finding the Fourth Proportional to 9,560.16, 13,192.02 and 5,578.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,560.16 : 13,192.02 = 5,578.38 : x
2. Step 2: Convert to fraction form
   9,560.16/13,192.02 = 5,578.38/x
3. Step 3: Cross multiply
   9,560.16x = 13,192.02 × 5,578.38
4. Step 4: Simplify right side
   9,560.16x = 73,590,100.53
5. Step 5: Solve for x
   x = 73,590,100.53/9,560.16
6. Step 6: Final answer
   x = 7,697.58