Finding the Fourth Proportional to 10,464.12, 14,440.41 and 5,748.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.12 : 14,440.41 = 5,748.30 : x
2. Step 2: Convert to fraction form
   10,464.12/14,440.41 = 5,748.30/x
3. Step 3: Cross multiply
   10,464.12x = 14,440.41 × 5,748.30
4. Step 4: Simplify right side
   10,464.12x = 83,007,808.80
5. Step 5: Solve for x
   x = 83,007,808.80/10,464.12
6. Step 6: Final answer
   x = 7,932.61