Finding the Fourth Proportional to 1,638.05, 2,257.86 and 1,424.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.05 : 2,257.86 = 1,424.82 : x
2. Step 2: Convert to fraction form
   1,638.05/2,257.86 = 1,424.82/x
3. Step 3: Cross multiply
   1,638.05x = 2,257.86 × 1,424.82
4. Step 4: Simplify right side
   1,638.05x = 3,217,036.96
5. Step 5: Solve for x
   x = 3,217,036.96/1,638.05
6. Step 6: Final answer
   x = 1,963.94