Finding the Fourth Proportional to 1,022.32, 1,410.81 and 556.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.32 : 1,410.81 = 556.57 : x
2. Step 2: Convert to fraction form
   1,022.32/1,410.81 = 556.57/x
3. Step 3: Cross multiply
   1,022.32x = 1,410.81 × 556.57
4. Step 4: Simplify right side
   1,022.32x = 785,214.52
5. Step 5: Solve for x
   x = 785,214.52/1,022.32
6. Step 6: Final answer
   x = 768.07