Finding the Fourth Proportional to 4,269.82, 6,404.50 and 1,638.58

Step by Step Solution

1. Step 1: Write the proportion equation
   4,269.82 : 6,404.50 = 1,638.58 : x
2. Step 2: Convert to fraction form
   4,269.82/6,404.50 = 1,638.58/x
3. Step 3: Cross multiply
   4,269.82x = 6,404.50 × 1,638.58
4. Step 4: Simplify right side
   4,269.82x = 10,494,285.61
5. Step 5: Solve for x
   x = 10,494,285.61/4,269.82
6. Step 6: Final answer
   x = 2,457.78