Finding the Fourth Proportional to 10,464.88, 14,441.34 and 5,749.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.88 : 14,441.34 = 5,749.06 : x
2. Step 2: Convert to fraction form
   10,464.88/14,441.34 = 5,749.06/x
3. Step 3: Cross multiply
   10,464.88x = 14,441.34 × 5,749.06
4. Step 4: Simplify right side
   10,464.88x = 83,024,130.14
5. Step 5: Solve for x
   x = 83,024,130.14/10,464.88
6. Step 6: Final answer
   x = 7,933.60