Finding the Fourth Proportional to 4,002.50, 5,523.46 and 2,209.98

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.50 : 5,523.46 = 2,209.98 : x
2. Step 2: Convert to fraction form
   4,002.50/5,523.46 = 2,209.98/x
3. Step 3: Cross multiply
   4,002.50x = 5,523.46 × 2,209.98
4. Step 4: Simplify right side
   4,002.50x = 12,206,730.61
5. Step 5: Solve for x
   x = 12,206,730.61/4,002.50
6. Step 6: Final answer
   x = 3,049.77