Finding the Fourth Proportional to 10,156.59, 14,016.24 and 5,680.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.59 : 14,016.24 = 5,680.53 : x
2. Step 2: Convert to fraction form
   10,156.59/14,016.24 = 5,680.53/x
3. Step 3: Cross multiply
   10,156.59x = 14,016.24 × 5,680.53
4. Step 4: Simplify right side
   10,156.59x = 79,619,671.81
5. Step 5: Solve for x
   x = 79,619,671.81/10,156.59
6. Step 6: Final answer
   x = 7,839.21