Finding the Fourth Proportional to 2,005.85, 3,009.38 and 836.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.85 : 3,009.38 = 836.42 : x
2. Step 2: Convert to fraction form
   2,005.85/3,009.38 = 836.42/x
3. Step 3: Cross multiply
   2,005.85x = 3,009.38 × 836.42
4. Step 4: Simplify right side
   2,005.85x = 2,517,086.39
5. Step 5: Solve for x
   x = 2,517,086.39/2,005.85
6. Step 6: Final answer
   x = 1,254.88