Finding the Fourth Proportional to 1,022.48, 1,411.01 and 556.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.48 : 1,411.01 = 556.73 : x
2. Step 2: Convert to fraction form
   1,022.48/1,411.01 = 556.73/x
3. Step 3: Cross multiply
   1,022.48x = 1,411.01 × 556.73
4. Step 4: Simplify right side
   1,022.48x = 785,541.76
5. Step 5: Solve for x
   x = 785,541.76/1,022.48
6. Step 6: Final answer
   x = 768.27