Finding the Fourth Proportional to 3,686.00, 5,086.62 and 2,007.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.00 : 5,086.62 = 2,007.41 : x
2. Step 2: Convert to fraction form
   3,686.00/5,086.62 = 2,007.41/x
3. Step 3: Cross multiply
   3,686.00x = 5,086.62 × 2,007.41
4. Step 4: Simplify right side
   3,686.00x = 10,210,906.42
5. Step 5: Solve for x
   x = 10,210,906.42/3,686.00
6. Step 6: Final answer
   x = 2,770.19