Finding the Fourth Proportional to 10,215.30, 14,096.25 and 5,738.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.30 : 14,096.25 = 5,738.70 : x
2. Step 2: Convert to fraction form
   10,215.30/14,096.25 = 5,738.70/x
3. Step 3: Cross multiply
   10,215.30x = 14,096.25 × 5,738.70
4. Step 4: Simplify right side
   10,215.30x = 80,894,149.88
5. Step 5: Solve for x
   x = 80,894,149.88/10,215.30
6. Step 6: Final answer
   x = 7,918.92