Finding the Fourth Proportional to 1,414.68, 2,123.34 and 721.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.68 : 2,123.34 = 721.82 : x
2. Step 2: Convert to fraction form
   1,414.68/2,123.34 = 721.82/x
3. Step 3: Cross multiply
   1,414.68x = 2,123.34 × 721.82
4. Step 4: Simplify right side
   1,414.68x = 1,532,671.88
5. Step 5: Solve for x
   x = 1,532,671.88/1,414.68
6. Step 6: Final answer
   x = 1,083.41