Finding the Fourth Proportional to 3,784.56, 5,222.52 and 2,105.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.56 : 5,222.52 = 2,105.84 : x
2. Step 2: Convert to fraction form
   3,784.56/5,222.52 = 2,105.84/x
3. Step 3: Cross multiply
   3,784.56x = 5,222.52 × 2,105.84
4. Step 4: Simplify right side
   3,784.56x = 10,997,765.40
5. Step 5: Solve for x
   x = 10,997,765.40/3,784.56
6. Step 6: Final answer
   x = 2,905.96