Finding the Fourth Proportional to 10,206.84, 14,086.20 and 5,731.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.84 : 14,086.20 = 5,731.56 : x
2. Step 2: Convert to fraction form
   10,206.84/14,086.20 = 5,731.56/x
3. Step 3: Cross multiply
   10,206.84x = 14,086.20 × 5,731.56
4. Step 4: Simplify right side
   10,206.84x = 80,735,900.47
5. Step 5: Solve for x
   x = 80,735,900.47/10,206.84
6. Step 6: Final answer
   x = 7,909.98