Finding the Fourth Proportional to 2,596, 3,582.52 and 1,417.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596 : 3,582.52 = 1,417.16 : x
2. Step 2: Convert to fraction form
   2,596/3,582.52 = 1,417.16/x
3. Step 3: Cross multiply
   2,596x = 3,582.52 × 1,417.16
4. Step 4: Simplify right side
   2,596x = 5,077,004.04
5. Step 5: Solve for x
   x = 5,077,004.04/2,596
6. Step 6: Final answer
   x = 1,955.70