Finding the Fourth Proportional to 1,006.15, 1,388.41 and 564.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.15 : 1,388.41 = 564.03 : x
2. Step 2: Convert to fraction form
   1,006.15/1,388.41 = 564.03/x
3. Step 3: Cross multiply
   1,006.15x = 1,388.41 × 564.03
4. Step 4: Simplify right side
   1,006.15x = 783,104.89
5. Step 5: Solve for x
   x = 783,104.89/1,006.15
6. Step 6: Final answer
   x = 778.32