Finding the Fourth Proportional to 1,022.36, 1,410.86 and 556.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.36 : 1,410.86 = 556.61 : x
2. Step 2: Convert to fraction form
   1,022.36/1,410.86 = 556.61/x
3. Step 3: Cross multiply
   1,022.36x = 1,410.86 × 556.61
4. Step 4: Simplify right side
   1,022.36x = 785,293.12
5. Step 5: Solve for x
   x = 785,293.12/1,022.36
6. Step 6: Final answer
   x = 768.12