Finding the Fourth Proportional to 2,004.68, 3,002.88 and 1,180.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.68 : 3,002.88 = 1,180.42 : x
2. Step 2: Convert to fraction form
   2,004.68/3,002.88 = 1,180.42/x
3. Step 3: Cross multiply
   2,004.68x = 3,002.88 × 1,180.42
4. Step 4: Simplify right side
   2,004.68x = 3,544,659.61
5. Step 5: Solve for x
   x = 3,544,659.61/2,004.68
6. Step 6: Final answer
   x = 1,768.19