Finding the Fourth Proportional to 3,786.50, 5,225.25 and 2,107.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.50 : 5,225.25 = 2,107.86 : x
2. Step 2: Convert to fraction form
   3,786.50/5,225.25 = 2,107.86/x
3. Step 3: Cross multiply
   3,786.50x = 5,225.25 × 2,107.86
4. Step 4: Simplify right side
   3,786.50x = 11,014,071.92
5. Step 5: Solve for x
   x = 11,014,071.92/3,786.50
6. Step 6: Final answer
   x = 2,908.77