Finding the Fourth Proportional to 3,401.96, 4,696.98 and 2,005.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,401.96 : 4,696.98 = 2,005.16 : x
2. Step 2: Convert to fraction form
   3,401.96/4,696.98 = 2,005.16/x
3. Step 3: Cross multiply
   3,401.96x = 4,696.98 × 2,005.16
4. Step 4: Simplify right side
   3,401.96x = 9,418,196.42
5. Step 5: Solve for x
   x = 9,418,196.42/3,401.96
6. Step 6: Final answer
   x = 2,768.46