Finding the Fourth Proportional to 1,978.58, 2,968.06 and 1,004.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.58 : 2,968.06 = 1,004.42 : x
2. Step 2: Convert to fraction form
   1,978.58/2,968.06 = 1,004.42/x
3. Step 3: Cross multiply
   1,978.58x = 2,968.06 × 1,004.42
4. Step 4: Simplify right side
   1,978.58x = 2,981,178.83
5. Step 5: Solve for x
   x = 2,981,178.83/1,978.58
6. Step 6: Final answer
   x = 1,506.73