Finding the Fourth Proportional to 10,156.96, 14,016.54 and 5,680.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.96 : 14,016.54 = 5,680.69 : x
2. Step 2: Convert to fraction form
   10,156.96/14,016.54 = 5,680.69/x
3. Step 3: Cross multiply
   10,156.96x = 14,016.54 × 5,680.69
4. Step 4: Simplify right side
   10,156.96x = 79,623,618.61
5. Step 5: Solve for x
   x = 79,623,618.61/10,156.96
6. Step 6: Final answer
   x = 7,839.32