Finding the Fourth Proportional to 2,667.84, 3,984 and 2,084.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,667.84 : 3,984 = 2,084.16 : x
2. Step 2: Convert to fraction form
   2,667.84/3,984 = 2,084.16/x
3. Step 3: Cross multiply
   2,667.84x = 3,984 × 2,084.16
4. Step 4: Simplify right side
   2,667.84x = 8,303,293.44
5. Step 5: Solve for x
   x = 8,303,293.44/2,667.84
6. Step 6: Final answer
   x = 3,112.37