Finding the Fourth Proportional to 2,584.76, 3,567.06 and 1,589.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.76 : 3,567.06 = 1,589.85 : x
2. Step 2: Convert to fraction form
   2,584.76/3,567.06 = 1,589.85/x
3. Step 3: Cross multiply
   2,584.76x = 3,567.06 × 1,589.85
4. Step 4: Simplify right side
   2,584.76x = 5,671,090.34
5. Step 5: Solve for x
   x = 5,671,090.34/2,584.76
6. Step 6: Final answer
   x = 2,194.05