Finding the Fourth Proportional to 1,023.75, 1,412.78 and 558.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.75 : 1,412.78 = 558.03 : x
2. Step 2: Convert to fraction form
   1,023.75/1,412.78 = 558.03/x
3. Step 3: Cross multiply
   1,023.75x = 1,412.78 × 558.03
4. Step 4: Simplify right side
   1,023.75x = 788,370.83
5. Step 5: Solve for x
   x = 788,370.83/1,023.75
6. Step 6: Final answer
   x = 770.08