Finding the Fourth Proportional to 2,871.42, 3,961.89 and 2,084.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,871.42 : 3,961.89 = 2,084.10 : x
2. Step 2: Convert to fraction form
   2,871.42/3,961.89 = 2,084.10/x
3. Step 3: Cross multiply
   2,871.42x = 3,961.89 × 2,084.10
4. Step 4: Simplify right side
   2,871.42x = 8,256,974.95
5. Step 5: Solve for x
   x = 8,256,974.95/2,871.42
6. Step 6: Final answer
   x = 2,875.57