Finding the Fourth Proportional to 10,459.62, 14,433.78 and 5,743.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.62 : 14,433.78 = 5,743.98 : x
2. Step 2: Convert to fraction form
   10,459.62/14,433.78 = 5,743.98/x
3. Step 3: Cross multiply
   10,459.62x = 14,433.78 × 5,743.98
4. Step 4: Simplify right side
   10,459.62x = 82,907,343.64
5. Step 5: Solve for x
   x = 82,907,343.64/10,459.62
6. Step 6: Final answer
   x = 7,926.42