Finding the Fourth Proportional to 9,578.48, 13,218.60 and 5,386.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.48 : 13,218.60 = 5,386.96 : x
2. Step 2: Convert to fraction form
   9,578.48/13,218.60 = 5,386.96/x
3. Step 3: Cross multiply
   9,578.48x = 13,218.60 × 5,386.96
4. Step 4: Simplify right side
   9,578.48x = 71,208,069.46
5. Step 5: Solve for x
   x = 71,208,069.46/9,578.48
6. Step 6: Final answer
   x = 7,434.17