Finding the Fourth Proportional to 10,804.62, 14,906.16 and 7,978.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,804.62 : 14,906.16 = 7,978.80 : x
2. Step 2: Convert to fraction form
   10,804.62/14,906.16 = 7,978.80/x
3. Step 3: Cross multiply
   10,804.62x = 14,906.16 × 7,978.80
4. Step 4: Simplify right side
   10,804.62x = 118,933,269.41
5. Step 5: Solve for x
   x = 118,933,269.41/10,804.62
6. Step 6: Final answer
   x = 11,007.63