Finding the Fourth Proportional to 3,771.77, 5,211.50 and 3,638.70

Step by Step Solution

1. Step 1: Write the proportion equation
   3,771.77 : 5,211.50 = 3,638.70 : x
2. Step 2: Convert to fraction form
   3,771.77/5,211.50 = 3,638.70/x
3. Step 3: Cross multiply
   3,771.77x = 5,211.50 × 3,638.70
4. Step 4: Simplify right side
   3,771.77x = 18,963,066.86
5. Step 5: Solve for x
   x = 18,963,066.86/3,771.77
6. Step 6: Final answer
   x = 5,027.64