Finding the Fourth Proportional to 1,012.75, 1,397.59 and 564.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.75 : 1,397.59 = 564.62 : x
2. Step 2: Convert to fraction form
   1,012.75/1,397.59 = 564.62/x
3. Step 3: Cross multiply
   1,012.75x = 1,397.59 × 564.62
4. Step 4: Simplify right side
   1,012.75x = 789,097.45
5. Step 5: Solve for x
   x = 789,097.45/1,012.75
6. Step 6: Final answer
   x = 779.17