Finding the Fourth Proportional to 2,585.52, 3,875.40 and 1,286.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.52 : 3,875.40 = 1,286.16 : x
2. Step 2: Convert to fraction form
   2,585.52/3,875.40 = 1,286.16/x
3. Step 3: Cross multiply
   2,585.52x = 3,875.40 × 1,286.16
4. Step 4: Simplify right side
   2,585.52x = 4,984,384.46
5. Step 5: Solve for x
   x = 4,984,384.46/2,585.52
6. Step 6: Final answer
   x = 1,927.81