Finding the Fourth Proportional to 10,802.09, 14,906.89 and 5,834.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802.09 : 14,906.89 = 5,834.09 : x
2. Step 2: Convert to fraction form
   10,802.09/14,906.89 = 5,834.09/x
3. Step 3: Cross multiply
   10,802.09x = 14,906.89 × 5,834.09
4. Step 4: Simplify right side
   10,802.09x = 86,968,137.88
5. Step 5: Solve for x
   x = 86,968,137.88/10,802.09
6. Step 6: Final answer
   x = 8,051.05