Finding the Fourth Proportional to 10,156.68, 14,016.27 and 5,680.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.68 : 14,016.27 = 5,680.62 : x
2. Step 2: Convert to fraction form
   10,156.68/14,016.27 = 5,680.62/x
3. Step 3: Cross multiply
   10,156.68x = 14,016.27 × 5,680.62
4. Step 4: Simplify right side
   10,156.68x = 79,621,103.69
5. Step 5: Solve for x
   x = 79,621,103.69/10,156.68
6. Step 6: Final answer
   x = 7,839.28