Finding the Fourth Proportional to 9,578.25, 13,218.59 and 5,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.25 : 13,218.59 = 5,386.50 : x
2. Step 2: Convert to fraction form
   9,578.25/13,218.59 = 5,386.50/x
3. Step 3: Cross multiply
   9,578.25x = 13,218.59 × 5,386.50
4. Step 4: Simplify right side
   9,578.25x = 71,201,948.50
5. Step 5: Solve for x
   x = 71,201,948.50/9,578.25
6. Step 6: Final answer
   x = 7,433.71