Finding the Fourth Proportional to 2,583.59, 3,565.50 and 1,404.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.59 : 3,565.50 = 1,404.64 : x
2. Step 2: Convert to fraction form
   2,583.59/3,565.50 = 1,404.64/x
3. Step 3: Cross multiply
   2,583.59x = 3,565.50 × 1,404.64
4. Step 4: Simplify right side
   2,583.59x = 5,008,226.09
5. Step 5: Solve for x
   x = 5,008,226.09/2,583.59
6. Step 6: Final answer
   x = 1,938.48