Finding the Fourth Proportional to 10,464.84, 14,441.31 and 5,749.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.84 : 14,441.31 = 5,749.02 : x
2. Step 2: Convert to fraction form
   10,464.84/14,441.31 = 5,749.02/x
3. Step 3: Cross multiply
   10,464.84x = 14,441.31 × 5,749.02
4. Step 4: Simplify right side
   10,464.84x = 83,023,380.02
5. Step 5: Solve for x
   x = 83,023,380.02/10,464.84
6. Step 6: Final answer
   x = 7,933.55