Finding the Fourth Proportional to 10,205.78, 14,083.61 and 5,729.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.78 : 14,083.61 = 5,729.72 : x
2. Step 2: Convert to fraction form
   10,205.78/14,083.61 = 5,729.72/x
3. Step 3: Cross multiply
   10,205.78x = 14,083.61 × 5,729.72
4. Step 4: Simplify right side
   10,205.78x = 80,695,042.82
5. Step 5: Solve for x
   x = 80,695,042.82/10,205.78
6. Step 6: Final answer
   x = 7,906.80