Finding the Fourth Proportional to 1,022.69, 1,411.29 and 556.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.69 : 1,411.29 = 556.94 : x
2. Step 2: Convert to fraction form
   1,022.69/1,411.29 = 556.94/x
3. Step 3: Cross multiply
   1,022.69x = 1,411.29 × 556.94
4. Step 4: Simplify right side
   1,022.69x = 786,003.85
5. Step 5: Solve for x
   x = 786,003.85/1,022.69
6. Step 6: Final answer
   x = 768.57