Finding the Fourth Proportional to 2,005.22, 3,005.71 and 964.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.22 : 3,005.71 = 964.58 : x
2. Step 2: Convert to fraction form
   2,005.22/3,005.71 = 964.58/x
3. Step 3: Cross multiply
   2,005.22x = 3,005.71 × 964.58
4. Step 4: Simplify right side
   2,005.22x = 2,899,230.31
5. Step 5: Solve for x
   x = 2,899,230.31/2,005.22
6. Step 6: Final answer
   x = 1,445.84