Finding the Fourth Proportional to 10,459.87, 14,434.66 and 5,679.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.87 : 14,434.66 = 5,679.82 : x
2. Step 2: Convert to fraction form
   10,459.87/14,434.66 = 5,679.82/x
3. Step 3: Cross multiply
   10,459.87x = 14,434.66 × 5,679.82
4. Step 4: Simplify right side
   10,459.87x = 81,986,270.56
5. Step 5: Solve for x
   x = 81,986,270.56/10,459.87
6. Step 6: Final answer
   x = 7,838.17