Finding the Fourth Proportional to 3,686.50, 5,087.16 and 2,092.73

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.50 : 5,087.16 = 2,092.73 : x
2. Step 2: Convert to fraction form
   3,686.50/5,087.16 = 2,092.73/x
3. Step 3: Cross multiply
   3,686.50x = 5,087.16 × 2,092.73
4. Step 4: Simplify right side
   3,686.50x = 10,646,026.91
5. Step 5: Solve for x
   x = 10,646,026.91/3,686.50
6. Step 6: Final answer
   x = 2,887.84