Finding the Fourth Proportional to 3,679.50, 5,077.72 and 2,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,679.50 : 5,077.72 = 2,023.50 : x
2. Step 2: Convert to fraction form
   3,679.50/5,077.72 = 2,023.50/x
3. Step 3: Cross multiply
   3,679.50x = 5,077.72 × 2,023.50
4. Step 4: Simplify right side
   3,679.50x = 10,274,766.42
5. Step 5: Solve for x
   x = 10,274,766.42/3,679.50
6. Step 6: Final answer
   x = 2,792.44