Finding the Fourth Proportional to 1,308.82, 1,962.89 and 578.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.82 : 1,962.89 = 578.23 : x
2. Step 2: Convert to fraction form
   1,308.82/1,962.89 = 578.23/x
3. Step 3: Cross multiply
   1,308.82x = 1,962.89 × 578.23
4. Step 4: Simplify right side
   1,308.82x = 1,135,001.88
5. Step 5: Solve for x
   x = 1,135,001.88/1,308.82
6. Step 6: Final answer
   x = 867.19