Finding the Fourth Proportional to 9,191.71, 12,682.60 and 5,413.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.71 : 12,682.60 = 5,413.49 : x
2. Step 2: Convert to fraction form
   9,191.71/12,682.60 = 5,413.49/x
3. Step 3: Cross multiply
   9,191.71x = 12,682.60 × 5,413.49
4. Step 4: Simplify right side
   9,191.71x = 68,657,051.33
5. Step 5: Solve for x
   x = 68,657,051.33/9,191.71
6. Step 6: Final answer
   x = 7,469.46