Finding the Fourth Proportional to 10,464.19, 14,441.49 and 5,749.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.19 : 14,441.49 = 5,749.38 : x
2. Step 2: Convert to fraction form
   10,464.19/14,441.49 = 5,749.38/x
3. Step 3: Cross multiply
   10,464.19x = 14,441.49 × 5,749.38
4. Step 4: Simplify right side
   10,464.19x = 83,029,613.78
5. Step 5: Solve for x
   x = 83,029,613.78/10,464.19
6. Step 6: Final answer
   x = 7,934.65