Finding the Fourth Proportional to 9,556.56, 13,188.87 and 5,578.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,556.56 : 13,188.87 = 5,578.94 : x
2. Step 2: Convert to fraction form
   9,556.56/13,188.87 = 5,578.94/x
3. Step 3: Cross multiply
   9,556.56x = 13,188.87 × 5,578.94
4. Step 4: Simplify right side
   9,556.56x = 73,579,947.37
5. Step 5: Solve for x
   x = 73,579,947.37/9,556.56
6. Step 6: Final answer
   x = 7,699.42