Finding the Fourth Proportional to 2,005.42, 3,004.04 and 962.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.42 : 3,004.04 = 962.25 : x
2. Step 2: Convert to fraction form
   2,005.42/3,004.04 = 962.25/x
3. Step 3: Cross multiply
   2,005.42x = 3,004.04 × 962.25
4. Step 4: Simplify right side
   2,005.42x = 2,890,637.49
5. Step 5: Solve for x
   x = 2,890,637.49/2,005.42
6. Step 6: Final answer
   x = 1,441.41