Finding the Fourth Proportional to 10,579.82, 14,600.61 and 5,863.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,579.82 : 14,600.61 = 5,863.77 : x
2. Step 2: Convert to fraction form
   10,579.82/14,600.61 = 5,863.77/x
3. Step 3: Cross multiply
   10,579.82x = 14,600.61 × 5,863.77
4. Step 4: Simplify right side
   10,579.82x = 85,614,618.90
5. Step 5: Solve for x
   x = 85,614,618.90/10,579.82
6. Step 6: Final answer
   x = 8,092.26