Finding the Fourth Proportional to 10,206.96, 14,085.62 and 5,732.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206.96 : 14,085.62 = 5,732.17 : x
2. Step 2: Convert to fraction form
   10,206.96/14,085.62 = 5,732.17/x
3. Step 3: Cross multiply
   10,206.96x = 14,085.62 × 5,732.17
4. Step 4: Simplify right side
   10,206.96x = 80,741,142.14
5. Step 5: Solve for x
   x = 80,741,142.14/10,206.96
6. Step 6: Final answer
   x = 7,910.40