Finding the Fourth Proportional to 1,022.05, 1,410.43 and 556.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.05 : 1,410.43 = 556.30 : x
2. Step 2: Convert to fraction form
   1,022.05/1,410.43 = 556.30/x
3. Step 3: Cross multiply
   1,022.05x = 1,410.43 × 556.30
4. Step 4: Simplify right side
   1,022.05x = 784,622.21
5. Step 5: Solve for x
   x = 784,622.21/1,022.05
6. Step 6: Final answer
   x = 767.69