Finding the Fourth Proportional to 1,020.86, 1,408.58 and 601.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.86 : 1,408.58 = 601.23 : x
2. Step 2: Convert to fraction form
   1,020.86/1,408.58 = 601.23/x
3. Step 3: Cross multiply
   1,020.86x = 1,408.58 × 601.23
4. Step 4: Simplify right side
   1,020.86x = 846,882.06
5. Step 5: Solve for x
   x = 846,882.06/1,020.86
6. Step 6: Final answer
   x = 829.58