Finding the Fourth Proportional to 2,028.34, 3,042.77 and 641.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028.34 : 3,042.77 = 641.42 : x
2. Step 2: Convert to fraction form
   2,028.34/3,042.77 = 641.42/x
3. Step 3: Cross multiply
   2,028.34x = 3,042.77 × 641.42
4. Step 4: Simplify right side
   2,028.34x = 1,951,686.52
5. Step 5: Solve for x
   x = 1,951,686.52/2,028.34
6. Step 6: Final answer
   x = 962.21