Finding the Fourth Proportional to 10,464.14, 14,440.74 and 5,748.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.14 : 14,440.74 = 5,748.68 : x
2. Step 2: Convert to fraction form
   10,464.14/14,440.74 = 5,748.68/x
3. Step 3: Cross multiply
   10,464.14x = 14,440.74 × 5,748.68
4. Step 4: Simplify right side
   10,464.14x = 83,015,193.22
5. Step 5: Solve for x
   x = 83,015,193.22/10,464.14
6. Step 6: Final answer
   x = 7,933.30