Finding the Fourth Proportional to 978.49, 1,468.61 and 491.82

Step by Step Solution

1. Step 1: Write the proportion equation
   978.49 : 1,468.61 = 491.82 : x
2. Step 2: Convert to fraction form
   978.49/1,468.61 = 491.82/x
3. Step 3: Cross multiply
   978.49x = 1,468.61 × 491.82
4. Step 4: Simplify right side
   978.49x = 722,291.77
5. Step 5: Solve for x
   x = 722,291.77/978.49
6. Step 6: Final answer
   x = 738.17