Finding the Fourth Proportional to 3,784.92, 5,222.82 and 2,106.17

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.92 : 5,222.82 = 2,106.17 : x
2. Step 2: Convert to fraction form
   3,784.92/5,222.82 = 2,106.17/x
3. Step 3: Cross multiply
   3,784.92x = 5,222.82 × 2,106.17
4. Step 4: Simplify right side
   3,784.92x = 11,000,146.80
5. Step 5: Solve for x
   x = 11,000,146.80/3,784.92
6. Step 6: Final answer
   x = 2,906.31