Finding the Fourth Proportional to 9,578.28, 13,217.94 and 5,386.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.28 : 13,217.94 = 5,386.56 : x
2. Step 2: Convert to fraction form
   9,578.28/13,217.94 = 5,386.56/x
3. Step 3: Cross multiply
   9,578.28x = 13,217.94 × 5,386.56
4. Step 4: Simplify right side
   9,578.28x = 71,199,226.89
5. Step 5: Solve for x
   x = 71,199,226.89/9,578.28
6. Step 6: Final answer
   x = 7,433.40