Finding the Fourth Proportional to 10,205.85, 14,083.94 and 5,729.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.85 : 14,083.94 = 5,729.48 : x
2. Step 2: Convert to fraction form
   10,205.85/14,083.94 = 5,729.48/x
3. Step 3: Cross multiply
   10,205.85x = 14,083.94 × 5,729.48
4. Step 4: Simplify right side
   10,205.85x = 80,693,666.87
5. Step 5: Solve for x
   x = 80,693,666.87/10,205.85
6. Step 6: Final answer
   x = 7,906.61