Finding the Fourth Proportional to 1,016.77, 1,523.91 and 578.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.77 : 1,523.91 = 578.39 : x
2. Step 2: Convert to fraction form
   1,016.77/1,523.91 = 578.39/x
3. Step 3: Cross multiply
   1,016.77x = 1,523.91 × 578.39
4. Step 4: Simplify right side
   1,016.77x = 881,414.30
5. Step 5: Solve for x
   x = 881,414.30/1,016.77
6. Step 6: Final answer
   x = 866.88