Finding the Fourth Proportional to 3,864.57, 5,333.13 and 2,096.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864.57 : 5,333.13 = 2,096.16 : x
2. Step 2: Convert to fraction form
   3,864.57/5,333.13 = 2,096.16/x
3. Step 3: Cross multiply
   3,864.57x = 5,333.13 × 2,096.16
4. Step 4: Simplify right side
   3,864.57x = 11,179,093.78
5. Step 5: Solve for x
   x = 11,179,093.78/3,864.57
6. Step 6: Final answer
   x = 2,892.71