Finding the Fourth Proportional to 3,401.74, 5,100.38 and 1,646.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,401.74 : 5,100.38 = 1,646.27 : x
2. Step 2: Convert to fraction form
   3,401.74/5,100.38 = 1,646.27/x
3. Step 3: Cross multiply
   3,401.74x = 5,100.38 × 1,646.27
4. Step 4: Simplify right side
   3,401.74x = 8,396,602.58
5. Step 5: Solve for x
   x = 8,396,602.58/3,401.74
6. Step 6: Final answer
   x = 2,468.33