Finding the Fourth Proportional to 10,156.84, 14,016.34 and 5,680.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.84 : 14,016.34 = 5,680.60 : x
2. Step 2: Convert to fraction form
   10,156.84/14,016.34 = 5,680.60/x
3. Step 3: Cross multiply
   10,156.84x = 14,016.34 × 5,680.60
4. Step 4: Simplify right side
   10,156.84x = 79,621,221.00
5. Step 5: Solve for x
   x = 79,621,221.00/10,156.84
6. Step 6: Final answer
   x = 7,839.17