Finding the Fourth Proportional to 2,404.18, 3,314.77 and 2,006.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404.18 : 3,314.77 = 2,006.42 : x
2. Step 2: Convert to fraction form
   2,404.18/3,314.77 = 2,006.42/x
3. Step 3: Cross multiply
   2,404.18x = 3,314.77 × 2,006.42
4. Step 4: Simplify right side
   2,404.18x = 6,650,820.82
5. Step 5: Solve for x
   x = 6,650,820.82/2,404.18
6. Step 6: Final answer
   x = 2,766.36