Finding the Fourth Proportional to 1,004.14, 1,498.60 and 978.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.14 : 1,498.60 = 978.22 : x
2. Step 2: Convert to fraction form
   1,004.14/1,498.60 = 978.22/x
3. Step 3: Cross multiply
   1,004.14x = 1,498.60 × 978.22
4. Step 4: Simplify right side
   1,004.14x = 1,465,960.49
5. Step 5: Solve for x
   x = 1,465,960.49/1,004.14
6. Step 6: Final answer
   x = 1,459.92