Finding the Fourth Proportional to 2,584.26, 3,564.81 and 1,588.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.26 : 3,564.81 = 1,588.86 : x
2. Step 2: Convert to fraction form
   2,584.26/3,564.81 = 1,588.86/x
3. Step 3: Cross multiply
   2,584.26x = 3,564.81 × 1,588.86
4. Step 4: Simplify right side
   2,584.26x = 5,663,984.02
5. Step 5: Solve for x
   x = 5,663,984.02/2,584.26
6. Step 6: Final answer
   x = 2,191.72