Finding the Fourth Proportional to 9,568.16, 14,327.64 and 5,401.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568.16 : 14,327.64 = 5,401.94 : x
2. Step 2: Convert to fraction form
   9,568.16/14,327.64 = 5,401.94/x
3. Step 3: Cross multiply
   9,568.16x = 14,327.64 × 5,401.94
4. Step 4: Simplify right side
   9,568.16x = 77,397,051.62
5. Step 5: Solve for x
   x = 77,397,051.62/9,568.16
6. Step 6: Final answer
   x = 8,089.02