Finding the Fourth Proportional to 9,944.64, 13,723.25 and 5,468.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,944.64 : 13,723.25 = 5,468.35 : x
2. Step 2: Convert to fraction form
   9,944.64/13,723.25 = 5,468.35/x
3. Step 3: Cross multiply
   9,944.64x = 13,723.25 × 5,468.35
4. Step 4: Simplify right side
   9,944.64x = 75,043,506.80
5. Step 5: Solve for x
   x = 75,043,506.80/9,944.64
6. Step 6: Final answer
   x = 7,546.13