Finding the Fourth Proportional to 2,532.30, 3,494.64 and 1,413.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.30 : 3,494.64 = 1,413.30 : x
2. Step 2: Convert to fraction form
   2,532.30/3,494.64 = 1,413.30/x
3. Step 3: Cross multiply
   2,532.30x = 3,494.64 × 1,413.30
4. Step 4: Simplify right side
   2,532.30x = 4,938,974.71
5. Step 5: Solve for x
   x = 4,938,974.71/2,532.30
6. Step 6: Final answer
   x = 1,950.39