Finding the Fourth Proportional to 10,157.50, 14,016.09 and 5,680.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157.50 : 14,016.09 = 5,680.53 : x
2. Step 2: Convert to fraction form
   10,157.50/14,016.09 = 5,680.53/x
3. Step 3: Cross multiply
   10,157.50x = 14,016.09 × 5,680.53
4. Step 4: Simplify right side
   10,157.50x = 79,618,809.08
5. Step 5: Solve for x
   x = 79,618,809.08/10,157.50
6. Step 6: Final answer
   x = 7,838.42