Finding the Fourth Proportional to 3,658.50, 5,048.74 and 2,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,658.50 : 5,048.74 = 2,002.50 : x
2. Step 2: Convert to fraction form
   3,658.50/5,048.74 = 2,002.50/x
3. Step 3: Cross multiply
   3,658.50x = 5,048.74 × 2,002.50
4. Step 4: Simplify right side
   3,658.50x = 10,110,101.85
5. Step 5: Solve for x
   x = 10,110,101.85/3,658.50
6. Step 6: Final answer
   x = 2,763.46