Finding the Fourth Proportional to 2,583.14, 3,564.77 and 1,404.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.14 : 3,564.77 = 1,404.23 : x
2. Step 2: Convert to fraction form
   2,583.14/3,564.77 = 1,404.23/x
3. Step 3: Cross multiply
   2,583.14x = 3,564.77 × 1,404.23
4. Step 4: Simplify right side
   2,583.14x = 5,005,760.54
5. Step 5: Solve for x
   x = 5,005,760.54/2,583.14
6. Step 6: Final answer
   x = 1,937.86