Finding the Fourth Proportional to 2,559.48, 3,530.97 and 1,564.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.48 : 3,530.97 = 1,564.80 : x
2. Step 2: Convert to fraction form
   2,559.48/3,530.97 = 1,564.80/x
3. Step 3: Cross multiply
   2,559.48x = 3,530.97 × 1,564.80
4. Step 4: Simplify right side
   2,559.48x = 5,525,261.86
5. Step 5: Solve for x
   x = 5,525,261.86/2,559.48
6. Step 6: Final answer
   x = 2,158.74