Finding the Fourth Proportional to 10,802.82, 14,907.89 and 5,834.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.82 : 14,907.89 = 5,834.82 : x
2. Step 2: Convert to fraction form
   10,802.82/14,907.89 = 5,834.82/x
3. Step 3: Cross multiply
   10,802.82x = 14,907.89 × 5,834.82
4. Step 4: Simplify right side
   10,802.82x = 86,984,854.73
5. Step 5: Solve for x
   x = 86,984,854.73/10,802.82
6. Step 6: Final answer
   x = 8,052.05