Finding the Fourth Proportional to 10,464.14, 14,441.22 and 5,748.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.14 : 14,441.22 = 5,748.47 : x
2. Step 2: Convert to fraction form
   10,464.14/14,441.22 = 5,748.47/x
3. Step 3: Cross multiply
   10,464.14x = 14,441.22 × 5,748.47
4. Step 4: Simplify right side
   10,464.14x = 83,014,919.93
5. Step 5: Solve for x
   x = 83,014,919.93/10,464.14
6. Step 6: Final answer
   x = 7,933.28