Finding the Fourth Proportional to 9,185.04, 12,664.22 and 7,766.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.04 : 12,664.22 = 7,766.19 : x
2. Step 2: Convert to fraction form
   9,185.04/12,664.22 = 7,766.19/x
3. Step 3: Cross multiply
   9,185.04x = 12,664.22 × 7,766.19
4. Step 4: Simplify right side
   9,185.04x = 98,352,699.89
5. Step 5: Solve for x
   x = 98,352,699.89/9,185.04
6. Step 6: Final answer
   x = 10,707.92