Finding the Fourth Proportional to 10,464.38, 14,441.73 and 5,749.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.38 : 14,441.73 = 5,749.64 : x
2. Step 2: Convert to fraction form
   10,464.38/14,441.73 = 5,749.64/x
3. Step 3: Cross multiply
   10,464.38x = 14,441.73 × 5,749.64
4. Step 4: Simplify right side
   10,464.38x = 83,034,748.48
5. Step 5: Solve for x
   x = 83,034,748.48/10,464.38
6. Step 6: Final answer
   x = 7,934.99