Finding the Fourth Proportional to 2,596, 3,582.56 and 1,492

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596 : 3,582.56 = 1,492 : x
2. Step 2: Convert to fraction form
   2,596/3,582.56 = 1,492/x
3. Step 3: Cross multiply
   2,596x = 3,582.56 × 1,492
4. Step 4: Simplify right side
   2,596x = 5,345,179.52
5. Step 5: Solve for x
   x = 5,345,179.52/2,596
6. Step 6: Final answer
   x = 2,059.01