Finding the Fourth Proportional to 1,414.29, 2,118.06 and 681.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.29 : 2,118.06 = 681.51 : x
2. Step 2: Convert to fraction form
   1,414.29/2,118.06 = 681.51/x
3. Step 3: Cross multiply
   1,414.29x = 2,118.06 × 681.51
4. Step 4: Simplify right side
   1,414.29x = 1,443,479.07
5. Step 5: Solve for x
   x = 1,443,479.07/1,414.29
6. Step 6: Final answer
   x = 1,020.64