Finding the Fourth Proportional to 3,686.46, 5,087.27 and 2,007.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.46 : 5,087.27 = 2,007.86 : x
2. Step 2: Convert to fraction form
   3,686.46/5,087.27 = 2,007.86/x
3. Step 3: Cross multiply
   3,686.46x = 5,087.27 × 2,007.86
4. Step 4: Simplify right side
   3,686.46x = 10,214,525.94
5. Step 5: Solve for x
   x = 10,214,525.94/3,686.46
6. Step 6: Final answer
   x = 2,770.82