Finding the Fourth Proportional to 10,459.02, 14,433.47 and 5,743.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.02 : 14,433.47 = 5,743.60 : x
2. Step 2: Convert to fraction form
   10,459.02/14,433.47 = 5,743.60/x
3. Step 3: Cross multiply
   10,459.02x = 14,433.47 × 5,743.60
4. Step 4: Simplify right side
   10,459.02x = 82,900,078.29
5. Step 5: Solve for x
   x = 82,900,078.29/10,459.02
6. Step 6: Final answer
   x = 7,926.18