Finding the Fourth Proportional to 10,464.66, 14,441.33 and 5,748.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.66 : 14,441.33 = 5,748.94 : x
2. Step 2: Convert to fraction form
   10,464.66/14,441.33 = 5,748.94/x
3. Step 3: Cross multiply
   10,464.66x = 14,441.33 × 5,748.94
4. Step 4: Simplify right side
   10,464.66x = 83,022,339.69
5. Step 5: Solve for x
   x = 83,022,339.69/10,464.66
6. Step 6: Final answer
   x = 7,933.59