Finding the Fourth Proportional to 2,827.54, 3,902.37 and 1,585.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.54 : 3,902.37 = 1,585.78 : x
2. Step 2: Convert to fraction form
   2,827.54/3,902.37 = 1,585.78/x
3. Step 3: Cross multiply
   2,827.54x = 3,902.37 × 1,585.78
4. Step 4: Simplify right side
   2,827.54x = 6,188,300.30
5. Step 5: Solve for x
   x = 6,188,300.30/2,827.54
6. Step 6: Final answer
   x = 2,188.58