Finding the Fourth Proportional to 10,585.89, 14,608.50 and 5,805.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.89 : 14,608.50 = 5,805.86 : x
2. Step 2: Convert to fraction form
   10,585.89/14,608.50 = 5,805.86/x
3. Step 3: Cross multiply
   10,585.89x = 14,608.50 × 5,805.86
4. Step 4: Simplify right side
   10,585.89x = 84,814,832.77
5. Step 5: Solve for x
   x = 84,814,832.77/10,585.89
6. Step 6: Final answer
   x = 8,012.06