Finding the Fourth Proportional to 2,644.34, 3,976.23 and 2,537.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,644.34 : 3,976.23 = 2,537.42 : x
2. Step 2: Convert to fraction form
   2,644.34/3,976.23 = 2,537.42/x
3. Step 3: Cross multiply
   2,644.34x = 3,976.23 × 2,537.42
4. Step 4: Simplify right side
   2,644.34x = 10,089,365.53
5. Step 5: Solve for x
   x = 10,089,365.53/2,644.34
6. Step 6: Final answer
   x = 3,815.46