Finding the Fourth Proportional to 9,189.90, 12,685.35 and 5,413.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189.90 : 12,685.35 = 5,413.68 : x
2. Step 2: Convert to fraction form
   9,189.90/12,685.35 = 5,413.68/x
3. Step 3: Cross multiply
   9,189.90x = 12,685.35 × 5,413.68
4. Step 4: Simplify right side
   9,189.90x = 68,674,425.59
5. Step 5: Solve for x
   x = 68,674,425.59/9,189.90
6. Step 6: Final answer
   x = 7,472.82