Finding the Fourth Proportional to 1,023.30, 1,413.18 and 729.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.30 : 1,413.18 = 729.18 : x
2. Step 2: Convert to fraction form
   1,023.30/1,413.18 = 729.18/x
3. Step 3: Cross multiply
   1,023.30x = 1,413.18 × 729.18
4. Step 4: Simplify right side
   1,023.30x = 1,030,462.59
5. Step 5: Solve for x
   x = 1,030,462.59/1,023.30
6. Step 6: Final answer
   x = 1,007.00