Finding the Fourth Proportional to 9,719.50, 13,413.59 and 5,470.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,719.50 : 13,413.59 = 5,470.97 : x
2. Step 2: Convert to fraction form
   9,719.50/13,413.59 = 5,470.97/x
3. Step 3: Cross multiply
   9,719.50x = 13,413.59 × 5,470.97
4. Step 4: Simplify right side
   9,719.50x = 73,385,348.48
5. Step 5: Solve for x
   x = 73,385,348.48/9,719.50
6. Step 6: Final answer
   x = 7,550.32