Finding the Fourth Proportional to 2,871.42, 4,308.81 and 1,640.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,871.42 : 4,308.81 = 1,640.58 : x
2. Step 2: Convert to fraction form
   2,871.42/4,308.81 = 1,640.58/x
3. Step 3: Cross multiply
   2,871.42x = 4,308.81 × 1,640.58
4. Step 4: Simplify right side
   2,871.42x = 7,068,947.51
5. Step 5: Solve for x
   x = 7,068,947.51/2,871.42
6. Step 6: Final answer
   x = 2,461.83