Finding the Fourth Proportional to 3,588.12, 4,952.16 and 2,096.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,588.12 : 4,952.16 = 2,096.91 : x
2. Step 2: Convert to fraction form
   3,588.12/4,952.16 = 2,096.91/x
3. Step 3: Cross multiply
   3,588.12x = 4,952.16 × 2,096.91
4. Step 4: Simplify right side
   3,588.12x = 10,384,233.83
5. Step 5: Solve for x
   x = 10,384,233.83/3,588.12
6. Step 6: Final answer
   x = 2,894.06