Finding the Fourth Proportional to 2,005.34, 3,005.49 and 964.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.34 : 3,005.49 = 964.49 : x
2. Step 2: Convert to fraction form
   2,005.34/3,005.49 = 964.49/x
3. Step 3: Cross multiply
   2,005.34x = 3,005.49 × 964.49
4. Step 4: Simplify right side
   2,005.34x = 2,898,765.05
5. Step 5: Solve for x
   x = 2,898,765.05/2,005.34
6. Step 6: Final answer
   x = 1,445.52