Finding the Fourth Proportional to 9,723.14, 14,578.42 and 5,339.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,723.14 : 14,578.42 = 5,339.42 : x
2. Step 2: Convert to fraction form
   9,723.14/14,578.42 = 5,339.42/x
3. Step 3: Cross multiply
   9,723.14x = 14,578.42 × 5,339.42
4. Step 4: Simplify right side
   9,723.14x = 77,840,307.32
5. Step 5: Solve for x
   x = 77,840,307.32/9,723.14
6. Step 6: Final answer
   x = 8,005.68