Finding the Fourth Proportional to 1,196.14, 1,794.56 and 978.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.14 : 1,794.56 = 978.81 : x
2. Step 2: Convert to fraction form
   1,196.14/1,794.56 = 978.81/x
3. Step 3: Cross multiply
   1,196.14x = 1,794.56 × 978.81
4. Step 4: Simplify right side
   1,196.14x = 1,756,533.27
5. Step 5: Solve for x
   x = 1,756,533.27/1,196.14
6. Step 6: Final answer
   x = 1,468.50