Finding the Fourth Proportional to 8,096.44, 12,142.14 and 3,164.72

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096.44 : 12,142.14 = 3,164.72 : x
2. Step 2: Convert to fraction form
   8,096.44/12,142.14 = 3,164.72/x
3. Step 3: Cross multiply
   8,096.44x = 12,142.14 × 3,164.72
4. Step 4: Simplify right side
   8,096.44x = 38,426,473.30
5. Step 5: Solve for x
   x = 38,426,473.30/8,096.44
6. Step 6: Final answer
   x = 4,746.09