Finding the Fourth Proportional to 10,978.16, 16,469.66 and 4,315.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.16 : 16,469.66 = 4,315.30 : x
2. Step 2: Convert to fraction form
   10,978.16/16,469.66 = 4,315.30/x
3. Step 3: Cross multiply
   10,978.16x = 16,469.66 × 4,315.30
4. Step 4: Simplify right side
   10,978.16x = 71,071,523.80
5. Step 5: Solve for x
   x = 71,071,523.80/10,978.16
6. Step 6: Final answer
   x = 6,473.90