Finding the Fourth Proportional to 2,142.53, 3,213.51 and 681.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.53 : 3,213.51 = 681.83 : x
2. Step 2: Convert to fraction form
   2,142.53/3,213.51 = 681.83/x
3. Step 3: Cross multiply
   2,142.53x = 3,213.51 × 681.83
4. Step 4: Simplify right side
   2,142.53x = 2,191,051.46
5. Step 5: Solve for x
   x = 2,191,051.46/2,142.53
6. Step 6: Final answer
   x = 1,022.65