Finding the Fourth Proportional to 3,685.43, 5,086.16 and 2,092.35

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.43 : 5,086.16 = 2,092.35 : x
2. Step 2: Convert to fraction form
   3,685.43/5,086.16 = 2,092.35/x
3. Step 3: Cross multiply
   3,685.43x = 5,086.16 × 2,092.35
4. Step 4: Simplify right side
   3,685.43x = 10,642,016.41
5. Step 5: Solve for x
   x = 10,642,016.41/3,685.43
6. Step 6: Final answer
   x = 2,887.60