Finding the Fourth Proportional to 1,022.38, 1,410.89 and 556.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.38 : 1,410.89 = 556.63 : x
2. Step 2: Convert to fraction form
   1,022.38/1,410.89 = 556.63/x
3. Step 3: Cross multiply
   1,022.38x = 1,410.89 × 556.63
4. Step 4: Simplify right side
   1,022.38x = 785,343.70
5. Step 5: Solve for x
   x = 785,343.70/1,022.38
6. Step 6: Final answer
   x = 768.15