Finding the Fourth Proportional to 10,279.28, 14,185.78 and 5,802.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.28 : 14,185.78 = 5,802.76 : x
2. Step 2: Convert to fraction form
   10,279.28/14,185.78 = 5,802.76/x
3. Step 3: Cross multiply
   10,279.28x = 14,185.78 × 5,802.76
4. Step 4: Simplify right side
   10,279.28x = 82,316,676.75
5. Step 5: Solve for x
   x = 82,316,676.75/10,279.28
6. Step 6: Final answer
   x = 8,008.02