Finding the Fourth Proportional to 2,584.94, 3,567.30 and 1,466.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.94 : 3,567.30 = 1,466.06 : x
2. Step 2: Convert to fraction form
   2,584.94/3,567.30 = 1,466.06/x
3. Step 3: Cross multiply
   2,584.94x = 3,567.30 × 1,466.06
4. Step 4: Simplify right side
   2,584.94x = 5,229,875.84
5. Step 5: Solve for x
   x = 5,229,875.84/2,584.94
6. Step 6: Final answer
   x = 2,023.21