Finding the Fourth Proportional to 9,568.14, 13,205.55 and 5,591.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568.14 : 13,205.55 = 5,591.58 : x
2. Step 2: Convert to fraction form
   9,568.14/13,205.55 = 5,591.58/x
3. Step 3: Cross multiply
   9,568.14x = 13,205.55 × 5,591.58
4. Step 4: Simplify right side
   9,568.14x = 73,839,889.27
5. Step 5: Solve for x
   x = 73,839,889.27/9,568.14
6. Step 6: Final answer
   x = 7,717.27