Finding the Fourth Proportional to 10,205.14, 14,083.78 and 5,729.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.14 : 14,083.78 = 5,729.22 : x
2. Step 2: Convert to fraction form
   10,205.14/14,083.78 = 5,729.22/x
3. Step 3: Cross multiply
   10,205.14x = 14,083.78 × 5,729.22
4. Step 4: Simplify right side
   10,205.14x = 80,689,074.05
5. Step 5: Solve for x
   x = 80,689,074.05/10,205.14
6. Step 6: Final answer
   x = 7,906.71