Finding the Fourth Proportional to 3,784.56, 5,222.78 and 2,106.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.56 : 5,222.78 = 2,106.12 : x
2. Step 2: Convert to fraction form
   3,784.56/5,222.78 = 2,106.12/x
3. Step 3: Cross multiply
   3,784.56x = 5,222.78 × 2,106.12
4. Step 4: Simplify right side
   3,784.56x = 10,999,790.88
5. Step 5: Solve for x
   x = 10,999,790.88/3,784.56
6. Step 6: Final answer
   x = 2,906.49