Finding the Fourth Proportional to 10,978.20, 16,453.80 and 7,468.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.20 : 16,453.80 = 7,468.20 : x
2. Step 2: Convert to fraction form
   10,978.20/16,453.80 = 7,468.20/x
3. Step 3: Cross multiply
   10,978.20x = 16,453.80 × 7,468.20
4. Step 4: Simplify right side
   10,978.20x = 122,880,269.16
5. Step 5: Solve for x
   x = 122,880,269.16/10,978.20
6. Step 6: Final answer
   x = 11,193.12