Finding the Fourth Proportional to 1,412.31, 2,118.60 and 681.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.31 : 2,118.60 = 681.42 : x
2. Step 2: Convert to fraction form
   1,412.31/2,118.60 = 681.42/x
3. Step 3: Cross multiply
   1,412.31x = 2,118.60 × 681.42
4. Step 4: Simplify right side
   1,412.31x = 1,443,656.41
5. Step 5: Solve for x
   x = 1,443,656.41/1,412.31
6. Step 6: Final answer
   x = 1,022.20