Finding the Fourth Proportional to 3,766.50, 5,197.77 and 2,087.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.50 : 5,197.77 = 2,087.88 : x
2. Step 2: Convert to fraction form
   3,766.50/5,197.77 = 2,087.88/x
3. Step 3: Cross multiply
   3,766.50x = 5,197.77 × 2,087.88
4. Step 4: Simplify right side
   3,766.50x = 10,852,300.54
5. Step 5: Solve for x
   x = 10,852,300.54/3,766.50
6. Step 6: Final answer
   x = 2,881.27