Finding the Fourth Proportional to 10,978.49, 16,435.44 and 6,805.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.49 : 16,435.44 = 6,805.10 : x
2. Step 2: Convert to fraction form
   10,978.49/16,435.44 = 6,805.10/x
3. Step 3: Cross multiply
   10,978.49x = 16,435.44 × 6,805.10
4. Step 4: Simplify right side
   10,978.49x = 111,844,853.83
5. Step 5: Solve for x
   x = 111,844,853.83/10,978.49
6. Step 6: Final answer
   x = 10,187.63