Finding the Fourth Proportional to 4,123.82, 5,684.20 and 3,225.96

Step by Step Solution

1. Step 1: Write the proportion equation
   4,123.82 : 5,684.20 = 3,225.96 : x
2. Step 2: Convert to fraction form
   4,123.82/5,684.20 = 3,225.96/x
3. Step 3: Cross multiply
   4,123.82x = 5,684.20 × 3,225.96
4. Step 4: Simplify right side
   4,123.82x = 18,337,001.83
5. Step 5: Solve for x
   x = 18,337,001.83/4,123.82
6. Step 6: Final answer
   x = 4,446.61