Finding the Fourth Proportional to 2,105.22, 3,157.72 and 644.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.22 : 3,157.72 = 644.37 : x
2. Step 2: Convert to fraction form
   2,105.22/3,157.72 = 644.37/x
3. Step 3: Cross multiply
   2,105.22x = 3,157.72 × 644.37
4. Step 4: Simplify right side
   2,105.22x = 2,034,744.35
5. Step 5: Solve for x
   x = 2,034,744.35/2,105.22
6. Step 6: Final answer
   x = 966.52