Finding the Fourth Proportional to 3,766.50, 5,198.94 and 2,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.50 : 5,198.94 = 2,524.50 : x
2. Step 2: Convert to fraction form
   3,766.50/5,198.94 = 2,524.50/x
3. Step 3: Cross multiply
   3,766.50x = 5,198.94 × 2,524.50
4. Step 4: Simplify right side
   3,766.50x = 13,124,724.03
5. Step 5: Solve for x
   x = 13,124,724.03/3,766.50
6. Step 6: Final answer
   x = 3,484.59