Finding the Fourth Proportional to 978.69, 1,468.12 and 362.40

Step by Step Solution

1. Step 1: Write the proportion equation
   978.69 : 1,468.12 = 362.40 : x
2. Step 2: Convert to fraction form
   978.69/1,468.12 = 362.40/x
3. Step 3: Cross multiply
   978.69x = 1,468.12 × 362.40
4. Step 4: Simplify right side
   978.69x = 532,046.69
5. Step 5: Solve for x
   x = 532,046.69/978.69
6. Step 6: Final answer
   x = 543.63