Finding the Fourth Proportional to 10,279.13, 14,185.09 and 5,802.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.13 : 14,185.09 = 5,802.61 : x
2. Step 2: Convert to fraction form
   10,279.13/14,185.09 = 5,802.61/x
3. Step 3: Cross multiply
   10,279.13x = 14,185.09 × 5,802.61
4. Step 4: Simplify right side
   10,279.13x = 82,310,558.89
5. Step 5: Solve for x
   x = 82,310,558.89/10,279.13
6. Step 6: Final answer
   x = 8,007.54