Finding the Fourth Proportional to 10,205.86, 14,084.03 and 5,729.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.86 : 14,084.03 = 5,729.61 : x
2. Step 2: Convert to fraction form
   10,205.86/14,084.03 = 5,729.61/x
3. Step 3: Cross multiply
   10,205.86x = 14,084.03 × 5,729.61
4. Step 4: Simplify right side
   10,205.86x = 80,695,900.06
5. Step 5: Solve for x
   x = 80,695,900.06/10,205.86
6. Step 6: Final answer
   x = 7,906.82