Finding the Fourth Proportional to 2,582.65, 3,564.01 and 1,403.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.65 : 3,564.01 = 1,403.74 : x
2. Step 2: Convert to fraction form
   2,582.65/3,564.01 = 1,403.74/x
3. Step 3: Cross multiply
   2,582.65x = 3,564.01 × 1,403.74
4. Step 4: Simplify right side
   2,582.65x = 5,002,943.40
5. Step 5: Solve for x
   x = 5,002,943.40/2,582.65
6. Step 6: Final answer
   x = 1,937.14