Finding the Fourth Proportional to 3,667.64, 5,062.22 and 2,096.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.64 : 5,062.22 = 2,096.64 : x
2. Step 2: Convert to fraction form
   3,667.64/5,062.22 = 2,096.64/x
3. Step 3: Cross multiply
   3,667.64x = 5,062.22 × 2,096.64
4. Step 4: Simplify right side
   3,667.64x = 10,613,652.94
5. Step 5: Solve for x
   x = 10,613,652.94/3,667.64
6. Step 6: Final answer
   x = 2,893.86