Finding the Fourth Proportional to 2,584.38, 3,567.90 and 1,977.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.38 : 3,567.90 = 1,977.58 : x
2. Step 2: Convert to fraction form
   2,584.38/3,567.90 = 1,977.58/x
3. Step 3: Cross multiply
   2,584.38x = 3,567.90 × 1,977.58
4. Step 4: Simplify right side
   2,584.38x = 7,055,799.49
5. Step 5: Solve for x
   x = 7,055,799.49/2,584.38
6. Step 6: Final answer
   x = 2,730.17