Finding the Fourth Proportional to 2,584.96, 3,565.15 and 1,588.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.96 : 3,565.15 = 1,588.46 : x
2. Step 2: Convert to fraction form
   2,584.96/3,565.15 = 1,588.46/x
3. Step 3: Cross multiply
   2,584.96x = 3,565.15 × 1,588.46
4. Step 4: Simplify right side
   2,584.96x = 5,663,076.37
5. Step 5: Solve for x
   x = 5,663,076.37/2,584.96
6. Step 6: Final answer
   x = 2,190.78