Finding the Fourth Proportional to 9,716.42, 13,408.34 and 5,467.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,716.42 : 13,408.34 = 5,467.57 : x
2. Step 2: Convert to fraction form
   9,716.42/13,408.34 = 5,467.57/x
3. Step 3: Cross multiply
   9,716.42x = 13,408.34 × 5,467.57
4. Step 4: Simplify right side
   9,716.42x = 73,310,976.68
5. Step 5: Solve for x
   x = 73,310,976.68/9,716.42
6. Step 6: Final answer
   x = 7,545.06