Finding the Fourth Proportional to 1,022.26, 1,410.72 and 556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.26 : 1,410.72 = 556.50 : x
2. Step 2: Convert to fraction form
   1,022.26/1,410.72 = 556.50/x
3. Step 3: Cross multiply
   1,022.26x = 1,410.72 × 556.50
4. Step 4: Simplify right side
   1,022.26x = 785,065.68
5. Step 5: Solve for x
   x = 785,065.68/1,022.26
6. Step 6: Final answer
   x = 767.97