Finding the Fourth Proportional to 10,157.31, 14,015.61 and 5,680.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157.31 : 14,015.61 = 5,680.62 : x
2. Step 2: Convert to fraction form
   10,157.31/14,015.61 = 5,680.62/x
3. Step 3: Cross multiply
   10,157.31x = 14,015.61 × 5,680.62
4. Step 4: Simplify right side
   10,157.31x = 79,617,354.48
5. Step 5: Solve for x
   x = 79,617,354.48/10,157.31
6. Step 6: Final answer
   x = 7,838.43