Finding the Fourth Proportional to 10,205.23, 14,083.76 and 5,728.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.23 : 14,083.76 = 5,728.75 : x
2. Step 2: Convert to fraction form
   10,205.23/14,083.76 = 5,728.75/x
3. Step 3: Cross multiply
   10,205.23x = 14,083.76 × 5,728.75
4. Step 4: Simplify right side
   10,205.23x = 80,682,340.10
5. Step 5: Solve for x
   x = 80,682,340.10/10,205.23
6. Step 6: Final answer
   x = 7,905.98