Finding the Fourth Proportional to 10,459.76, 14,434.56 and 5,744.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.76 : 14,434.56 = 5,744.03 : x
2. Step 2: Convert to fraction form
   10,459.76/14,434.56 = 5,744.03/x
3. Step 3: Cross multiply
   10,459.76x = 14,434.56 × 5,744.03
4. Step 4: Simplify right side
   10,459.76x = 82,912,473.50
5. Step 5: Solve for x
   x = 82,912,473.50/10,459.76
6. Step 6: Final answer
   x = 7,926.81