Finding the Fourth Proportional to 1,978.14, 2,968.35 and 1,004.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.14 : 2,968.35 = 1,004.34 : x
2. Step 2: Convert to fraction form
   1,978.14/2,968.35 = 1,004.34/x
3. Step 3: Cross multiply
   1,978.14x = 2,968.35 × 1,004.34
4. Step 4: Simplify right side
   1,978.14x = 2,981,232.64
5. Step 5: Solve for x
   x = 2,981,232.64/1,978.14
6. Step 6: Final answer
   x = 1,507.09