Finding the Fourth Proportional to 10,978.26, 16,464.06 and 9,223.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.26 : 16,464.06 = 9,223.80 : x
2. Step 2: Convert to fraction form
   10,978.26/16,464.06 = 9,223.80/x
3. Step 3: Cross multiply
   10,978.26x = 16,464.06 × 9,223.80
4. Step 4: Simplify right side
   10,978.26x = 151,861,196.63
5. Step 5: Solve for x
   x = 151,861,196.63/10,978.26
6. Step 6: Final answer
   x = 13,832.90