Finding the Fourth Proportional to 10,279.30, 14,184.74 and 5,802.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.30 : 14,184.74 = 5,802.17 : x
2. Step 2: Convert to fraction form
   10,279.30/14,184.74 = 5,802.17/x
3. Step 3: Cross multiply
   10,279.30x = 14,184.74 × 5,802.17
4. Step 4: Simplify right side
   10,279.30x = 82,302,322.85
5. Step 5: Solve for x
   x = 82,302,322.85/10,279.30
6. Step 6: Final answer
   x = 8,006.61