Finding the Fourth Proportional to 2,564.23, 3,842.52 and 2,105.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.23 : 3,842.52 = 2,105.23 : x
2. Step 2: Convert to fraction form
   2,564.23/3,842.52 = 2,105.23/x
3. Step 3: Cross multiply
   2,564.23x = 3,842.52 × 2,105.23
4. Step 4: Simplify right side
   2,564.23x = 8,089,388.38
5. Step 5: Solve for x
   x = 8,089,388.38/2,564.23
6. Step 6: Final answer
   x = 3,154.70