Finding the Fourth Proportional to 3,783.49, 5,222.07 and 2,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,783.49 : 5,222.07 = 2,105.50 : x
2. Step 2: Convert to fraction form
   3,783.49/5,222.07 = 2,105.50/x
3. Step 3: Cross multiply
   3,783.49x = 5,222.07 × 2,105.50
4. Step 4: Simplify right side
   3,783.49x = 10,995,068.39
5. Step 5: Solve for x
   x = 10,995,068.39/3,783.49
6. Step 6: Final answer
   x = 2,906.07