Finding the Fourth Proportional to 978.69, 1,350.47 and 585.63

Step by Step Solution

1. Step 1: Write the proportion equation
   978.69 : 1,350.47 = 585.63 : x
2. Step 2: Convert to fraction form
   978.69/1,350.47 = 585.63/x
3. Step 3: Cross multiply
   978.69x = 1,350.47 × 585.63
4. Step 4: Simplify right side
   978.69x = 790,872.82
5. Step 5: Solve for x
   x = 790,872.82/978.69
6. Step 6: Final answer
   x = 808.09