Finding the Fourth Proportional to 2,559.51, 3,530.96 and 1,564.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.51 : 3,530.96 = 1,564.59 : x
2. Step 2: Convert to fraction form
   2,559.51/3,530.96 = 1,564.59/x
3. Step 3: Cross multiply
   2,559.51x = 3,530.96 × 1,564.59
4. Step 4: Simplify right side
   2,559.51x = 5,524,504.71
5. Step 5: Solve for x
   x = 5,524,504.71/2,559.51
6. Step 6: Final answer
   x = 2,158.42