Finding the Fourth Proportional to 10,199.10, 14,072.36 and 5,947.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.10 : 14,072.36 = 5,947.62 : x
2. Step 2: Convert to fraction form
   10,199.10/14,072.36 = 5,947.62/x
3. Step 3: Cross multiply
   10,199.10x = 14,072.36 × 5,947.62
4. Step 4: Simplify right side
   10,199.10x = 83,697,049.78
5. Step 5: Solve for x
   x = 83,697,049.78/10,199.10
6. Step 6: Final answer
   x = 8,206.32