Finding the Fourth Proportional to 1,022.04, 1,410.42 and 556.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.04 : 1,410.42 = 556.29 : x
2. Step 2: Convert to fraction form
   1,022.04/1,410.42 = 556.29/x
3. Step 3: Cross multiply
   1,022.04x = 1,410.42 × 556.29
4. Step 4: Simplify right side
   1,022.04x = 784,602.54
5. Step 5: Solve for x
   x = 784,602.54/1,022.04
6. Step 6: Final answer
   x = 767.68