Finding the Fourth Proportional to 10,205.96, 14,083.83 and 5,729.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.96 : 14,083.83 = 5,729.94 : x
2. Step 2: Convert to fraction form
   10,205.96/14,083.83 = 5,729.94/x
3. Step 3: Cross multiply
   10,205.96x = 14,083.83 × 5,729.94
4. Step 4: Simplify right side
   10,205.96x = 80,699,500.87
5. Step 5: Solve for x
   x = 80,699,500.87/10,205.96
6. Step 6: Final answer
   x = 7,907.10