Finding the Fourth Proportional to 10,459.13, 14,433.59 and 5,743.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.13 : 14,433.59 = 5,743.71 : x
2. Step 2: Convert to fraction form
   10,459.13/14,433.59 = 5,743.71/x
3. Step 3: Cross multiply
   10,459.13x = 14,433.59 × 5,743.71
4. Step 4: Simplify right side
   10,459.13x = 82,902,369.58
5. Step 5: Solve for x
   x = 82,902,369.58/10,459.13
6. Step 6: Final answer
   x = 7,926.32