Finding the Fourth Proportional to 10,206.50, 14,084.20 and 5,729.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.50 : 14,084.20 = 5,729.39 : x
2. Step 2: Convert to fraction form
   10,206.50/14,084.20 = 5,729.39/x
3. Step 3: Cross multiply
   10,206.50x = 14,084.20 × 5,729.39
4. Step 4: Simplify right side
   10,206.50x = 80,693,895.53
5. Step 5: Solve for x
   x = 80,693,895.53/10,206.50
6. Step 6: Final answer
   x = 7,906.13