Finding the Fourth Proportional to 10,464.78, 14,441.40 and 5,749.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.78 : 14,441.40 = 5,749.35 : x
2. Step 2: Convert to fraction form
   10,464.78/14,441.40 = 5,749.35/x
3. Step 3: Cross multiply
   10,464.78x = 14,441.40 × 5,749.35
4. Step 4: Simplify right side
   10,464.78x = 83,028,663.09
5. Step 5: Solve for x
   x = 83,028,663.09/10,464.78
6. Step 6: Final answer
   x = 7,934.10