Finding the Fourth Proportional to 10,156.46, 14,016.63 and 5,680.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.46 : 14,016.63 = 5,680.63 : x
2. Step 2: Convert to fraction form
   10,156.46/14,016.63 = 5,680.63/x
3. Step 3: Cross multiply
   10,156.46x = 14,016.63 × 5,680.63
4. Step 4: Simplify right side
   10,156.46x = 79,623,288.88
5. Step 5: Solve for x
   x = 79,623,288.88/10,156.46
6. Step 6: Final answer
   x = 7,839.67