Finding the Fourth Proportional to 9,559.60, 13,189.94 and 5,578.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,559.60 : 13,189.94 = 5,578.44 : x
2. Step 2: Convert to fraction form
   9,559.60/13,189.94 = 5,578.44/x
3. Step 3: Cross multiply
   9,559.60x = 13,189.94 × 5,578.44
4. Step 4: Simplify right side
   9,559.60x = 73,579,288.89
5. Step 5: Solve for x
   x = 73,579,288.89/9,559.60
6. Step 6: Final answer
   x = 7,696.90