Finding the Fourth Proportional to 9,563.37, 13,198.28 and 5,585.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.37 : 13,198.28 = 5,585.76 : x
2. Step 2: Convert to fraction form
   9,563.37/13,198.28 = 5,585.76/x
3. Step 3: Cross multiply
   9,563.37x = 13,198.28 × 5,585.76
4. Step 4: Simplify right side
   9,563.37x = 73,722,396.56
5. Step 5: Solve for x
   x = 73,722,396.56/9,563.37
6. Step 6: Final answer
   x = 7,708.83