Finding the Fourth Proportional to 2,004.18, 3,005.25 and 964.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.18 : 3,005.25 = 964.16 : x
2. Step 2: Convert to fraction form
   2,004.18/3,005.25 = 964.16/x
3. Step 3: Cross multiply
   2,004.18x = 3,005.25 × 964.16
4. Step 4: Simplify right side
   2,004.18x = 2,897,535.90
5. Step 5: Solve for x
   x = 2,897,535.90/2,004.18
6. Step 6: Final answer
   x = 1,445.75