Finding the Fourth Proportional to 1,413.68, 1,952.36 and 972.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.68 : 1,952.36 = 972.72 : x
2. Step 2: Convert to fraction form
   1,413.68/1,952.36 = 972.72/x
3. Step 3: Cross multiply
   1,413.68x = 1,952.36 × 972.72
4. Step 4: Simplify right side
   1,413.68x = 1,899,099.62
5. Step 5: Solve for x
   x = 1,899,099.62/1,413.68
6. Step 6: Final answer
   x = 1,343.37