Finding the Fourth Proportional to 2,596.10, 3,582.63 and 1,417.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.10 : 3,582.63 = 1,417.20 : x
2. Step 2: Convert to fraction form
   2,596.10/3,582.63 = 1,417.20/x
3. Step 3: Cross multiply
   2,596.10x = 3,582.63 × 1,417.20
4. Step 4: Simplify right side
   2,596.10x = 5,077,289.80
5. Step 5: Solve for x
   x = 5,077,289.80/2,596.10
6. Step 6: Final answer
   x = 1,955.74