Finding the Fourth Proportional to 1,413.71, 1,948.67 and 1,114.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.71 : 1,948.67 = 1,114.47 : x
2. Step 2: Convert to fraction form
   1,413.71/1,948.67 = 1,114.47/x
3. Step 3: Cross multiply
   1,413.71x = 1,948.67 × 1,114.47
4. Step 4: Simplify right side
   1,413.71x = 2,171,732.86
5. Step 5: Solve for x
   x = 2,171,732.86/1,413.71
6. Step 6: Final answer
   x = 1,536.20