Finding the Fourth Proportional to 9,626.10, 14,441.10 and 5,468.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,626.10 : 14,441.10 = 5,468.10 : x
2. Step 2: Convert to fraction form
   9,626.10/14,441.10 = 5,468.10/x
3. Step 3: Cross multiply
   9,626.10x = 14,441.10 × 5,468.10
4. Step 4: Simplify right side
   9,626.10x = 78,965,378.91
5. Step 5: Solve for x
   x = 78,965,378.91/9,626.10
6. Step 6: Final answer
   x = 8,203.26