Finding the Fourth Proportional to 2,071.82, 2,850.72 and 2,022.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.82 : 2,850.72 = 2,022.59 : x
2. Step 2: Convert to fraction form
   2,071.82/2,850.72 = 2,022.59/x
3. Step 3: Cross multiply
   2,071.82x = 2,850.72 × 2,022.59
4. Step 4: Simplify right side
   2,071.82x = 5,765,837.76
5. Step 5: Solve for x
   x = 5,765,837.76/2,071.82
6. Step 6: Final answer
   x = 2,782.98