Finding the Fourth Proportional to 10,205.15, 14,084.48 and 5,729.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.15 : 14,084.48 = 5,729.15 : x
2. Step 2: Convert to fraction form
   10,205.15/14,084.48 = 5,729.15/x
3. Step 3: Cross multiply
   10,205.15x = 14,084.48 × 5,729.15
4. Step 4: Simplify right side
   10,205.15x = 80,692,042.49
5. Step 5: Solve for x
   x = 80,692,042.49/10,205.15
6. Step 6: Final answer
   x = 7,906.99