Finding the Fourth Proportional to 10,028.16, 13,821.84 and 7,665.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,028.16 : 13,821.84 = 7,665.12 : x
2. Step 2: Convert to fraction form
   10,028.16/13,821.84 = 7,665.12/x
3. Step 3: Cross multiply
   10,028.16x = 13,821.84 × 7,665.12
4. Step 4: Simplify right side
   10,028.16x = 105,946,062.22
5. Step 5: Solve for x
   x = 105,946,062.22/10,028.16
6. Step 6: Final answer
   x = 10,564.86