Finding the Fourth Proportional to 3,784.32, 5,222.52 and 2,105.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.32 : 5,222.52 = 2,105.91 : x
2. Step 2: Convert to fraction form
   3,784.32/5,222.52 = 2,105.91/x
3. Step 3: Cross multiply
   3,784.32x = 5,222.52 × 2,105.91
4. Step 4: Simplify right side
   3,784.32x = 10,998,157.09
5. Step 5: Solve for x
   x = 10,998,157.09/3,784.32
6. Step 6: Final answer
   x = 2,906.24