Finding the Fourth Proportional to 3,874, 5,813.72 and 1,683.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874 : 5,813.72 = 1,683.34 : x
2. Step 2: Convert to fraction form
   3,874/5,813.72 = 1,683.34/x
3. Step 3: Cross multiply
   3,874x = 5,813.72 × 1,683.34
4. Step 4: Simplify right side
   3,874x = 9,786,467.42
5. Step 5: Solve for x
   x = 9,786,467.42/3,874
6. Step 6: Final answer
   x = 2,526.19