Finding the Fourth Proportional to 1,022.32, 1,410.78 and 556.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.32 : 1,410.78 = 556.58 : x
2. Step 2: Convert to fraction form
   1,022.32/1,410.78 = 556.58/x
3. Step 3: Cross multiply
   1,022.32x = 1,410.78 × 556.58
4. Step 4: Simplify right side
   1,022.32x = 785,211.93
5. Step 5: Solve for x
   x = 785,211.93/1,022.32
6. Step 6: Final answer
   x = 768.07