Finding the Fourth Proportional to 2,003.70, 3,005.38 and 964.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.70 : 3,005.38 = 964.54 : x
2. Step 2: Convert to fraction form
   2,003.70/3,005.38 = 964.54/x
3. Step 3: Cross multiply
   2,003.70x = 3,005.38 × 964.54
4. Step 4: Simplify right side
   2,003.70x = 2,898,809.23
5. Step 5: Solve for x
   x = 2,898,809.23/2,003.70
6. Step 6: Final answer
   x = 1,446.73