Finding the Fourth Proportional to 2,558.36, 3,530.78 and 1,564.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.36 : 3,530.78 = 1,564.23 : x
2. Step 2: Convert to fraction form
   2,558.36/3,530.78 = 1,564.23/x
3. Step 3: Cross multiply
   2,558.36x = 3,530.78 × 1,564.23
4. Step 4: Simplify right side
   2,558.36x = 5,522,944.18
5. Step 5: Solve for x
   x = 5,522,944.18/2,558.36
6. Step 6: Final answer
   x = 2,158.79