Finding the Fourth Proportional to 10,215.08, 14,096 and 5,738.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.08 : 14,096 = 5,738.69 : x
2. Step 2: Convert to fraction form
   10,215.08/14,096 = 5,738.69/x
3. Step 3: Cross multiply
   10,215.08x = 14,096 × 5,738.69
4. Step 4: Simplify right side
   10,215.08x = 80,892,574.24
5. Step 5: Solve for x
   x = 80,892,574.24/10,215.08
6. Step 6: Final answer
   x = 7,918.94