Finding the Fourth Proportional to 1,012.45, 1,397.16 and 564.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.45 : 1,397.16 = 564.33 : x
2. Step 2: Convert to fraction form
   1,012.45/1,397.16 = 564.33/x
3. Step 3: Cross multiply
   1,012.45x = 1,397.16 × 564.33
4. Step 4: Simplify right side
   1,012.45x = 788,449.50
5. Step 5: Solve for x
   x = 788,449.50/1,012.45
6. Step 6: Final answer
   x = 778.75