Finding the Fourth Proportional to 1,020.83, 1,409.07 and 601.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.83 : 1,409.07 = 601.15 : x
2. Step 2: Convert to fraction form
   1,020.83/1,409.07 = 601.15/x
3. Step 3: Cross multiply
   1,020.83x = 1,409.07 × 601.15
4. Step 4: Simplify right side
   1,020.83x = 847,059.42
5. Step 5: Solve for x
   x = 847,059.42/1,020.83
6. Step 6: Final answer
   x = 829.78