Finding the Fourth Proportional to 3,784.18, 5,222.01 and 2,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.18 : 5,222.01 = 2,105.50 : x
2. Step 2: Convert to fraction form
   3,784.18/5,222.01 = 2,105.50/x
3. Step 3: Cross multiply
   3,784.18x = 5,222.01 × 2,105.50
4. Step 4: Simplify right side
   3,784.18x = 10,994,942.06
5. Step 5: Solve for x
   x = 10,994,942.06/3,784.18
6. Step 6: Final answer
   x = 2,905.50