Finding the Fourth Proportional to 10,780.80, 16,164.56 and 4,199.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.80 : 16,164.56 = 4,199.32 : x
2. Step 2: Convert to fraction form
   10,780.80/16,164.56 = 4,199.32/x
3. Step 3: Cross multiply
   10,780.80x = 16,164.56 × 4,199.32
4. Step 4: Simplify right side
   10,780.80x = 67,880,160.10
5. Step 5: Solve for x
   x = 67,880,160.10/10,780.80
6. Step 6: Final answer
   x = 6,296.39