Finding the Fourth Proportional to 9,413.56, 12,990.84 and 5,165.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,413.56 : 12,990.84 = 5,165.02 : x
2. Step 2: Convert to fraction form
   9,413.56/12,990.84 = 5,165.02/x
3. Step 3: Cross multiply
   9,413.56x = 12,990.84 × 5,165.02
4. Step 4: Simplify right side
   9,413.56x = 67,097,948.42
5. Step 5: Solve for x
   x = 67,097,948.42/9,413.56
6. Step 6: Final answer
   x = 7,127.80