Finding the Fourth Proportional to 9,825.83, 13,560.84 and 5,578.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.83 : 13,560.84 = 5,578.22 : x
2. Step 2: Convert to fraction form
   9,825.83/13,560.84 = 5,578.22/x
3. Step 3: Cross multiply
   9,825.83x = 13,560.84 × 5,578.22
4. Step 4: Simplify right side
   9,825.83x = 75,645,322.22
5. Step 5: Solve for x
   x = 75,645,322.22/9,825.83
6. Step 6: Final answer
   x = 7,698.62