Finding the Fourth Proportional to 10,978.20, 16,451.78 and 6,291.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.20 : 16,451.78 = 6,291.27 : x
2. Step 2: Convert to fraction form
   10,978.20/16,451.78 = 6,291.27/x
3. Step 3: Cross multiply
   10,978.20x = 16,451.78 × 6,291.27
4. Step 4: Simplify right side
   10,978.20x = 103,502,558.50
5. Step 5: Solve for x
   x = 103,502,558.50/10,978.20
6. Step 6: Final answer
   x = 9,428.01