Finding the Fourth Proportional to 978.39, 1,350.18 and 585.42

Step by Step Solution

1. Step 1: Write the proportion equation
   978.39 : 1,350.18 = 585.42 : x
2. Step 2: Convert to fraction form
   978.39/1,350.18 = 585.42/x
3. Step 3: Cross multiply
   978.39x = 1,350.18 × 585.42
4. Step 4: Simplify right side
   978.39x = 790,422.38
5. Step 5: Solve for x
   x = 790,422.38/978.39
6. Step 6: Final answer
   x = 807.88