Finding the Fourth Proportional to 10,459.78, 14,433.99 and 5,679.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.78 : 14,433.99 = 5,679.61 : x
2. Step 2: Convert to fraction form
   10,459.78/14,433.99 = 5,679.61/x
3. Step 3: Cross multiply
   10,459.78x = 14,433.99 × 5,679.61
4. Step 4: Simplify right side
   10,459.78x = 81,979,433.94
5. Step 5: Solve for x
   x = 81,979,433.94/10,459.78
6. Step 6: Final answer
   x = 7,837.59