Finding the Fourth Proportional to 10,778.06, 16,162.23 and 4,204.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778.06 : 16,162.23 = 4,204.10 : x
2. Step 2: Convert to fraction form
   10,778.06/16,162.23 = 4,204.10/x
3. Step 3: Cross multiply
   10,778.06x = 16,162.23 × 4,204.10
4. Step 4: Simplify right side
   10,778.06x = 67,947,687.31
5. Step 5: Solve for x
   x = 67,947,687.31/10,778.06
6. Step 6: Final answer
   x = 6,304.26