Finding the Fourth Proportional to 10,156.49, 14,016.02 and 5,680.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.49 : 14,016.02 = 5,680.43 : x
2. Step 2: Convert to fraction form
   10,156.49/14,016.02 = 5,680.43/x
3. Step 3: Cross multiply
   10,156.49x = 14,016.02 × 5,680.43
4. Step 4: Simplify right side
   10,156.49x = 79,616,922.01
5. Step 5: Solve for x
   x = 79,616,922.01/10,156.49
6. Step 6: Final answer
   x = 7,839.02