Finding the Fourth Proportional to 3,906, 5,844.57 and 3,463.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906 : 5,844.57 = 3,463.74 : x
2. Step 2: Convert to fraction form
   3,906/5,844.57 = 3,463.74/x
3. Step 3: Cross multiply
   3,906x = 5,844.57 × 3,463.74
4. Step 4: Simplify right side
   3,906x = 20,244,070.89
5. Step 5: Solve for x
   x = 20,244,070.89/3,906
6. Step 6: Final answer
   x = 5,182.81