Finding the Fourth Proportional to 9,827.97, 13,560.24 and 5,578.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.97 : 13,560.24 = 5,578.08 : x
2. Step 2: Convert to fraction form
   9,827.97/13,560.24 = 5,578.08/x
3. Step 3: Cross multiply
   9,827.97x = 13,560.24 × 5,578.08
4. Step 4: Simplify right side
   9,827.97x = 75,640,103.54
5. Step 5: Solve for x
   x = 75,640,103.54/9,827.97
6. Step 6: Final answer
   x = 7,696.41