Finding the Fourth Proportional to 3,685.74, 5,086.32 and 2,007.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.74 : 5,086.32 = 2,007.14 : x
2. Step 2: Convert to fraction form
   3,685.74/5,086.32 = 2,007.14/x
3. Step 3: Cross multiply
   3,685.74x = 5,086.32 × 2,007.14
4. Step 4: Simplify right side
   3,685.74x = 10,208,956.32
5. Step 5: Solve for x
   x = 10,208,956.32/3,685.74
6. Step 6: Final answer
   x = 2,769.85