Finding the Fourth Proportional to 3,685.84, 5,086.46 and 2,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.84 : 5,086.46 = 2,007.25 : x
2. Step 2: Convert to fraction form
   3,685.84/5,086.46 = 2,007.25/x
3. Step 3: Cross multiply
   3,685.84x = 5,086.46 × 2,007.25
4. Step 4: Simplify right side
   3,685.84x = 10,209,789.14
5. Step 5: Solve for x
   x = 10,209,789.14/3,685.84
6. Step 6: Final answer
   x = 2,770.01