Finding the Fourth Proportional to 3,768.65, 5,200.51 and 2,089.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.65 : 5,200.51 = 2,089.96 : x
2. Step 2: Convert to fraction form
   3,768.65/5,200.51 = 2,089.96/x
3. Step 3: Cross multiply
   3,768.65x = 5,200.51 × 2,089.96
4. Step 4: Simplify right side
   3,768.65x = 10,868,831.88
5. Step 5: Solve for x
   x = 10,868,831.88/3,768.65
6. Step 6: Final answer
   x = 2,884.01