Finding the Fourth Proportional to 10,205.25, 14,083.29 and 5,729.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.25 : 14,083.29 = 5,729.05 : x
2. Step 2: Convert to fraction form
   10,205.25/14,083.29 = 5,729.05/x
3. Step 3: Cross multiply
   10,205.25x = 14,083.29 × 5,729.05
4. Step 4: Simplify right side
   10,205.25x = 80,683,872.57
5. Step 5: Solve for x
   x = 80,683,872.57/10,205.25
6. Step 6: Final answer
   x = 7,906.12