Finding the Fourth Proportional to 10,459.50, 14,434.21 and 5,679.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.50 : 14,434.21 = 5,679.49 : x
2. Step 2: Convert to fraction form
   10,459.50/14,434.21 = 5,679.49/x
3. Step 3: Cross multiply
   10,459.50x = 14,434.21 × 5,679.49
4. Step 4: Simplify right side
   10,459.50x = 81,978,951.35
5. Step 5: Solve for x
   x = 81,978,951.35/10,459.50
6. Step 6: Final answer
   x = 7,837.75