Finding the Fourth Proportional to 10,279.55, 14,185.09 and 5,802.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.55 : 14,185.09 = 5,802.42 : x
2. Step 2: Convert to fraction form
   10,279.55/14,185.09 = 5,802.42/x
3. Step 3: Cross multiply
   10,279.55x = 14,185.09 × 5,802.42
4. Step 4: Simplify right side
   10,279.55x = 82,307,849.92
5. Step 5: Solve for x
   x = 82,307,849.92/10,279.55
6. Step 6: Final answer
   x = 8,006.95