Finding the Fourth Proportional to 1,022.16, 1,410.59 and 556.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.16 : 1,410.59 = 556.41 : x
2. Step 2: Convert to fraction form
   1,022.16/1,410.59 = 556.41/x
3. Step 3: Cross multiply
   1,022.16x = 1,410.59 × 556.41
4. Step 4: Simplify right side
   1,022.16x = 784,866.38
5. Step 5: Solve for x
   x = 784,866.38/1,022.16
6. Step 6: Final answer
   x = 767.85