Finding the Fourth Proportional to 3,870, 5,338.24 and 2,297.04

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870 : 5,338.24 = 2,297.04 : x
2. Step 2: Convert to fraction form
   3,870/5,338.24 = 2,297.04/x
3. Step 3: Cross multiply
   3,870x = 5,338.24 × 2,297.04
4. Step 4: Simplify right side
   3,870x = 12,262,150.81
5. Step 5: Solve for x
   x = 12,262,150.81/3,870
6. Step 6: Final answer
   x = 3,168.51