Finding the Fourth Proportional to 2,589.64, 3,886.94 and 2,016.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.64 : 3,886.94 = 2,016.20 : x
2. Step 2: Convert to fraction form
   2,589.64/3,886.94 = 2,016.20/x
3. Step 3: Cross multiply
   2,589.64x = 3,886.94 × 2,016.20
4. Step 4: Simplify right side
   2,589.64x = 7,836,848.43
5. Step 5: Solve for x
   x = 7,836,848.43/2,589.64
6. Step 6: Final answer
   x = 3,026.23