Finding the Fourth Proportional to 2,585.16, 3,874.91 and 1,121.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.16 : 3,874.91 = 1,121.49 : x
2. Step 2: Convert to fraction form
   2,585.16/3,874.91 = 1,121.49/x
3. Step 3: Cross multiply
   2,585.16x = 3,874.91 × 1,121.49
4. Step 4: Simplify right side
   2,585.16x = 4,345,667.21
5. Step 5: Solve for x
   x = 4,345,667.21/2,585.16
6. Step 6: Final answer
   x = 1,681.01