Finding the Fourth Proportional to 11,644.84, 16,065.16 and 7,105.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644.84 : 16,065.16 = 7,105.20 : x
2. Step 2: Convert to fraction form
   11,644.84/16,065.16 = 7,105.20/x
3. Step 3: Cross multiply
   11,644.84x = 16,065.16 × 7,105.20
4. Step 4: Simplify right side
   11,644.84x = 114,146,174.83
5. Step 5: Solve for x
   x = 114,146,174.83/11,644.84
6. Step 6: Final answer
   x = 9,802.30