Finding the Fourth Proportional to 10,205.04, 14,082.56 and 5,728.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.04 : 14,082.56 = 5,728.98 : x
2. Step 2: Convert to fraction form
   10,205.04/14,082.56 = 5,728.98/x
3. Step 3: Cross multiply
   10,205.04x = 14,082.56 × 5,728.98
4. Step 4: Simplify right side
   10,205.04x = 80,678,704.59
5. Step 5: Solve for x
   x = 80,678,704.59/10,205.04
6. Step 6: Final answer
   x = 7,905.77