Finding the Fourth Proportional to 10,156.14, 14,016.02 and 5,679.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.14 : 14,016.02 = 5,679.88 : x
2. Step 2: Convert to fraction form
   10,156.14/14,016.02 = 5,679.88/x
3. Step 3: Cross multiply
   10,156.14x = 14,016.02 × 5,679.88
4. Step 4: Simplify right side
   10,156.14x = 79,609,311.68
5. Step 5: Solve for x
   x = 79,609,311.68/10,156.14
6. Step 6: Final answer
   x = 7,838.54