Finding the Fourth Proportional to 2,584.67, 3,566.82 and 1,405.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.67 : 3,566.82 = 1,405.75 : x
2. Step 2: Convert to fraction form
   2,584.67/3,566.82 = 1,405.75/x
3. Step 3: Cross multiply
   2,584.67x = 3,566.82 × 1,405.75
4. Step 4: Simplify right side
   2,584.67x = 5,014,057.22
5. Step 5: Solve for x
   x = 5,014,057.22/2,584.67
6. Step 6: Final answer
   x = 1,939.92