Finding the Fourth Proportional to 2,584.27, 3,564.47 and 1,590.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.27 : 3,564.47 = 1,590.10 : x
2. Step 2: Convert to fraction form
   2,584.27/3,564.47 = 1,590.10/x
3. Step 3: Cross multiply
   2,584.27x = 3,564.47 × 1,590.10
4. Step 4: Simplify right side
   2,584.27x = 5,667,858.81
5. Step 5: Solve for x
   x = 5,667,858.81/2,584.27
6. Step 6: Final answer
   x = 2,193.21