Finding the Fourth Proportional to 10,978.40, 16,435.30 and 6,805.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.40 : 16,435.30 = 6,805.01 : x
2. Step 2: Convert to fraction form
   10,978.40/16,435.30 = 6,805.01/x
3. Step 3: Cross multiply
   10,978.40x = 16,435.30 × 6,805.01
4. Step 4: Simplify right side
   10,978.40x = 111,842,404.93
5. Step 5: Solve for x
   x = 111,842,404.93/10,978.40
6. Step 6: Final answer
   x = 10,187.49