Finding the Fourth Proportional to 2,910.71, 4,016.79 and 1,584.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,910.71 : 4,016.79 = 1,584.42 : x
2. Step 2: Convert to fraction form
   2,910.71/4,016.79 = 1,584.42/x
3. Step 3: Cross multiply
   2,910.71x = 4,016.79 × 1,584.42
4. Step 4: Simplify right side
   2,910.71x = 6,364,262.33
5. Step 5: Solve for x
   x = 6,364,262.33/2,910.71
6. Step 6: Final answer
   x = 2,186.50