Finding the Fourth Proportional to 10,459.53, 14,434.25 and 5,743.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.53 : 14,434.25 = 5,743.85 : x
2. Step 2: Convert to fraction form
   10,459.53/14,434.25 = 5,743.85/x
3. Step 3: Cross multiply
   10,459.53x = 14,434.25 × 5,743.85
4. Step 4: Simplify right side
   10,459.53x = 82,908,065.97
5. Step 5: Solve for x
   x = 82,908,065.97/10,459.53
6. Step 6: Final answer
   x = 7,926.56