Finding the Fourth Proportional to 10,586, 14,608.77 and 5,870.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586 : 14,608.77 = 5,870.29 : x
2. Step 2: Convert to fraction form
   10,586/14,608.77 = 5,870.29/x
3. Step 3: Cross multiply
   10,586x = 14,608.77 × 5,870.29
4. Step 4: Simplify right side
   10,586x = 85,757,614.05
5. Step 5: Solve for x
   x = 85,757,614.05/10,586
6. Step 6: Final answer
   x = 8,101.04