Finding the Fourth Proportional to 2,827.52, 3,902.72 and 1,585.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.52 : 3,902.72 = 1,585.92 : x
2. Step 2: Convert to fraction form
   2,827.52/3,902.72 = 1,585.92/x
3. Step 3: Cross multiply
   2,827.52x = 3,902.72 × 1,585.92
4. Step 4: Simplify right side
   2,827.52x = 6,189,401.70
5. Step 5: Solve for x
   x = 6,189,401.70/2,827.52
6. Step 6: Final answer
   x = 2,188.99