Finding the Fourth Proportional to 1,020.78, 1,408.59 and 601.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.78 : 1,408.59 = 601.07 : x
2. Step 2: Convert to fraction form
   1,020.78/1,408.59 = 601.07/x
3. Step 3: Cross multiply
   1,020.78x = 1,408.59 × 601.07
4. Step 4: Simplify right side
   1,020.78x = 846,654.15
5. Step 5: Solve for x
   x = 846,654.15/1,020.78
6. Step 6: Final answer
   x = 829.42