Finding the Fourth Proportional to 10,735.89, 16,097.69 and 6,356.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735.89 : 16,097.69 = 6,356.42 : x
2. Step 2: Convert to fraction form
   10,735.89/16,097.69 = 6,356.42/x
3. Step 3: Cross multiply
   10,735.89x = 16,097.69 × 6,356.42
4. Step 4: Simplify right side
   10,735.89x = 102,323,729.23
5. Step 5: Solve for x
   x = 102,323,729.23/10,735.89
6. Step 6: Final answer
   x = 9,530.99