Finding the Fourth Proportional to 3,784.48, 5,222.51 and 2,105.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.48 : 5,222.51 = 2,105.83 : x
2. Step 2: Convert to fraction form
   3,784.48/5,222.51 = 2,105.83/x
3. Step 3: Cross multiply
   3,784.48x = 5,222.51 × 2,105.83
4. Step 4: Simplify right side
   3,784.48x = 10,997,718.23
5. Step 5: Solve for x
   x = 10,997,718.23/3,784.48
6. Step 6: Final answer
   x = 2,906.01