Finding the Fourth Proportional to 12,853.88, 19,281 and 4,096.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.88 : 19,281 = 4,096.16 : x
2. Step 2: Convert to fraction form
   12,853.88/19,281 = 4,096.16/x
3. Step 3: Cross multiply
   12,853.88x = 19,281 × 4,096.16
4. Step 4: Simplify right side
   12,853.88x = 78,978,060.96
5. Step 5: Solve for x
   x = 78,978,060.96/12,853.88
6. Step 6: Final answer
   x = 6,144.30