Finding the Fourth Proportional to 2,142.70, 3,214.01 and 681.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.70 : 3,214.01 = 681.83 : x
2. Step 2: Convert to fraction form
   2,142.70/3,214.01 = 681.83/x
3. Step 3: Cross multiply
   2,142.70x = 3,214.01 × 681.83
4. Step 4: Simplify right side
   2,142.70x = 2,191,406.13
5. Step 5: Solve for x
   x = 2,191,406.13/2,142.70
6. Step 6: Final answer
   x = 1,022.73