Finding the Fourth Proportional to 978.89, 1,468.46 and 401.63

Step by Step Solution

1. Step 1: Write the proportion equation
   978.89 : 1,468.46 = 401.63 : x
2. Step 2: Convert to fraction form
   978.89/1,468.46 = 401.63/x
3. Step 3: Cross multiply
   978.89x = 1,468.46 × 401.63
4. Step 4: Simplify right side
   978.89x = 589,771.25
5. Step 5: Solve for x
   x = 589,771.25/978.89
6. Step 6: Final answer
   x = 602.49