Finding the Fourth Proportional to 3,456.16, 4,768.56 and 2,194.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,456.16 : 4,768.56 = 2,194.96 : x
2. Step 2: Convert to fraction form
   3,456.16/4,768.56 = 2,194.96/x
3. Step 3: Cross multiply
   3,456.16x = 4,768.56 × 2,194.96
4. Step 4: Simplify right side
   3,456.16x = 10,466,798.46
5. Step 5: Solve for x
   x = 10,466,798.46/3,456.16
6. Step 6: Final answer
   x = 3,028.45