Finding the Fourth Proportional to 978.78, 1,468.56 and 589.57

Step by Step Solution

1. Step 1: Write the proportion equation
   978.78 : 1,468.56 = 589.57 : x
2. Step 2: Convert to fraction form
   978.78/1,468.56 = 589.57/x
3. Step 3: Cross multiply
   978.78x = 1,468.56 × 589.57
4. Step 4: Simplify right side
   978.78x = 865,818.92
5. Step 5: Solve for x
   x = 865,818.92/978.78
6. Step 6: Final answer
   x = 884.59