Finding the Fourth Proportional to 978.64, 1,467.59 and 401.56

Step by Step Solution

1. Step 1: Write the proportion equation
   978.64 : 1,467.59 = 401.56 : x
2. Step 2: Convert to fraction form
   978.64/1,467.59 = 401.56/x
3. Step 3: Cross multiply
   978.64x = 1,467.59 × 401.56
4. Step 4: Simplify right side
   978.64x = 589,318.10
5. Step 5: Solve for x
   x = 589,318.10/978.64
6. Step 6: Final answer
   x = 602.18