Finding the Fourth Proportional to 4,926.50, 7,387.24 and 1,638.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,926.50 : 7,387.24 = 1,638.42 : x
2. Step 2: Convert to fraction form
   4,926.50/7,387.24 = 1,638.42/x
3. Step 3: Cross multiply
   4,926.50x = 7,387.24 × 1,638.42
4. Step 4: Simplify right side
   4,926.50x = 12,103,401.76
5. Step 5: Solve for x
   x = 12,103,401.76/4,926.50
6. Step 6: Final answer
   x = 2,456.80