Finding the Fourth Proportional to 9,668.43, 13,342.32 and 5,419.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,668.43 : 13,342.32 = 5,419.47 : x
2. Step 2: Convert to fraction form
   9,668.43/13,342.32 = 5,419.47/x
3. Step 3: Cross multiply
   9,668.43x = 13,342.32 × 5,419.47
4. Step 4: Simplify right side
   9,668.43x = 72,308,302.97
5. Step 5: Solve for x
   x = 72,308,302.97/9,668.43
6. Step 6: Final answer
   x = 7,478.81