Finding the Fourth Proportional to 10,205.84, 14,084.82 and 5,730.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.84 : 14,084.82 = 5,730.56 : x
2. Step 2: Convert to fraction form
   10,205.84/14,084.82 = 5,730.56/x
3. Step 3: Cross multiply
   10,205.84x = 14,084.82 × 5,730.56
4. Step 4: Simplify right side
   10,205.84x = 80,713,906.10
5. Step 5: Solve for x
   x = 80,713,906.10/10,205.84
6. Step 6: Final answer
   x = 7,908.60