Finding the Fourth Proportional to 9,413.06, 12,990.14 and 5,164.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.06 : 12,990.14 = 5,164.52 : x
2. Step 2: Convert to fraction form
   9,413.06/12,990.14 = 5,164.52/x
3. Step 3: Cross multiply
   9,413.06x = 12,990.14 × 5,164.52
4. Step 4: Simplify right side
   9,413.06x = 67,087,837.83
5. Step 5: Solve for x
   x = 67,087,837.83/9,413.06
6. Step 6: Final answer
   x = 7,127.10