Finding the Fourth Proportional to 1,002.29, 1,501.34 and 806.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.29 : 1,501.34 = 806.23 : x
2. Step 2: Convert to fraction form
   1,002.29/1,501.34 = 806.23/x
3. Step 3: Cross multiply
   1,002.29x = 1,501.34 × 806.23
4. Step 4: Simplify right side
   1,002.29x = 1,210,413.81
5. Step 5: Solve for x
   x = 1,210,413.81/1,002.29
6. Step 6: Final answer
   x = 1,207.65