Finding the Fourth Proportional to 2,096.42, 3,142.20 and 1,686.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.42 : 3,142.20 = 1,686.02 : x
2. Step 2: Convert to fraction form
   2,096.42/3,142.20 = 1,686.02/x
3. Step 3: Cross multiply
   2,096.42x = 3,142.20 × 1,686.02
4. Step 4: Simplify right side
   2,096.42x = 5,297,812.04
5. Step 5: Solve for x
   x = 5,297,812.04/2,096.42
6. Step 6: Final answer
   x = 2,527.08