Finding the Fourth Proportional to 3,910.96, 5,870.56 and 3,822.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,910.96 : 5,870.56 = 3,822.81 : x
2. Step 2: Convert to fraction form
   3,910.96/5,870.56 = 3,822.81/x
3. Step 3: Cross multiply
   3,910.96x = 5,870.56 × 3,822.81
4. Step 4: Simplify right side
   3,910.96x = 22,442,035.47
5. Step 5: Solve for x
   x = 22,442,035.47/3,910.96
6. Step 6: Final answer
   x = 5,738.24