Finding the Fourth Proportional to 2,287.14, 3,158.64 and 1,587.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.14 : 3,158.64 = 1,587.30 : x
2. Step 2: Convert to fraction form
   2,287.14/3,158.64 = 1,587.30/x
3. Step 3: Cross multiply
   2,287.14x = 3,158.64 × 1,587.30
4. Step 4: Simplify right side
   2,287.14x = 5,013,709.27
5. Step 5: Solve for x
   x = 5,013,709.27/2,287.14
6. Step 6: Final answer
   x = 2,192.13