Finding the Fourth Proportional to 2,027.82, 2,790.03 and 1,584.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,027.82 : 2,790.03 = 1,584.96 : x
2. Step 2: Convert to fraction form
   2,027.82/2,790.03 = 1,584.96/x
3. Step 3: Cross multiply
   2,027.82x = 2,790.03 × 1,584.96
4. Step 4: Simplify right side
   2,027.82x = 4,422,085.95
5. Step 5: Solve for x
   x = 4,422,085.95/2,027.82
6. Step 6: Final answer
   x = 2,180.71