Finding the Fourth Proportional to 3,934.82, 5,430.12 and 2,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,934.82 : 5,430.12 = 2,256.50 : x
2. Step 2: Convert to fraction form
   3,934.82/5,430.12 = 2,256.50/x
3. Step 3: Cross multiply
   3,934.82x = 5,430.12 × 2,256.50
4. Step 4: Simplify right side
   3,934.82x = 12,253,065.78
5. Step 5: Solve for x
   x = 12,253,065.78/3,934.82
6. Step 6: Final answer
   x = 3,114.01