Finding the Fourth Proportional to 6,865.86, 10,279.08 and 5,825.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,865.86 : 10,279.08 = 5,825.82 : x
2. Step 2: Convert to fraction form
   6,865.86/10,279.08 = 5,825.82/x
3. Step 3: Cross multiply
   6,865.86x = 10,279.08 × 5,825.82
4. Step 4: Simplify right side
   6,865.86x = 59,884,069.85
5. Step 5: Solve for x
   x = 59,884,069.85/6,865.86
6. Step 6: Final answer
   x = 8,722.01