Finding the Fourth Proportional to 9,827.88, 13,561.24 and 5,578.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.88 : 13,561.24 = 5,578.62 : x
2. Step 2: Convert to fraction form
   9,827.88/13,561.24 = 5,578.62/x
3. Step 3: Cross multiply
   9,827.88x = 13,561.24 × 5,578.62
4. Step 4: Simplify right side
   9,827.88x = 75,653,004.69
5. Step 5: Solve for x
   x = 75,653,004.69/9,827.88
6. Step 6: Final answer
   x = 7,697.79