Finding the Fourth Proportional to 2,585.40, 3,567.90 and 1,537.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.40 : 3,567.90 = 1,537.46 : x
2. Step 2: Convert to fraction form
   2,585.40/3,567.90 = 1,537.46/x
3. Step 3: Cross multiply
   2,585.40x = 3,567.90 × 1,537.46
4. Step 4: Simplify right side
   2,585.40x = 5,485,503.53
5. Step 5: Solve for x
   x = 5,485,503.53/2,585.40
6. Step 6: Final answer
   x = 2,121.72