Finding the Fourth Proportional to 2,532.14, 3,494.37 and 1,413.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.14 : 3,494.37 = 1,413.16 : x
2. Step 2: Convert to fraction form
   2,532.14/3,494.37 = 1,413.16/x
3. Step 3: Cross multiply
   2,532.14x = 3,494.37 × 1,413.16
4. Step 4: Simplify right side
   2,532.14x = 4,938,100.47
5. Step 5: Solve for x
   x = 4,938,100.47/2,532.14
6. Step 6: Final answer
   x = 1,950.17