Finding the Fourth Proportional to 3,005.71, 4,150.72 and 2,842.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,005.71 : 4,150.72 = 2,842.09 : x
2. Step 2: Convert to fraction form
   3,005.71/4,150.72 = 2,842.09/x
3. Step 3: Cross multiply
   3,005.71x = 4,150.72 × 2,842.09
4. Step 4: Simplify right side
   3,005.71x = 11,796,719.80
5. Step 5: Solve for x
   x = 11,796,719.80/3,005.71
6. Step 6: Final answer
   x = 3,924.77