Finding the Fourth Proportional to 3,934.83, 5,429.61 and 2,256.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,934.83 : 5,429.61 = 2,256.30 : x
2. Step 2: Convert to fraction form
   3,934.83/5,429.61 = 2,256.30/x
3. Step 3: Cross multiply
   3,934.83x = 5,429.61 × 2,256.30
4. Step 4: Simplify right side
   3,934.83x = 12,250,829.04
5. Step 5: Solve for x
   x = 12,250,829.04/3,934.83
6. Step 6: Final answer
   x = 3,113.43