Finding the Fourth Proportional to 3,852.55, 5,784.90 and 2,212.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.55 : 5,784.90 = 2,212.30 : x
2. Step 2: Convert to fraction form
   3,852.55/5,784.90 = 2,212.30/x
3. Step 3: Cross multiply
   3,852.55x = 5,784.90 × 2,212.30
4. Step 4: Simplify right side
   3,852.55x = 12,797,934.27
5. Step 5: Solve for x
   x = 12,797,934.27/3,852.55
6. Step 6: Final answer
   x = 3,321.94