Finding the Fourth Proportional to 10,156.38, 14,016.12 and 5,680.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.38 : 14,016.12 = 5,680.32 : x
2. Step 2: Convert to fraction form
   10,156.38/14,016.12 = 5,680.32/x
3. Step 3: Cross multiply
   10,156.38x = 14,016.12 × 5,680.32
4. Step 4: Simplify right side
   10,156.38x = 79,616,046.76
5. Step 5: Solve for x
   x = 79,616,046.76/10,156.38
6. Step 6: Final answer
   x = 7,839.02