Finding the Fourth Proportional to 1,022.61, 1,411.18 and 556.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.61 : 1,411.18 = 556.86 : x
2. Step 2: Convert to fraction form
   1,022.61/1,411.18 = 556.86/x
3. Step 3: Cross multiply
   1,022.61x = 1,411.18 × 556.86
4. Step 4: Simplify right side
   1,022.61x = 785,829.69
5. Step 5: Solve for x
   x = 785,829.69/1,022.61
6. Step 6: Final answer
   x = 768.45