Finding the Fourth Proportional to 10,596.82, 14,623.86 and 5,881

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.82 : 14,623.86 = 5,881 : x
2. Step 2: Convert to fraction form
   10,596.82/14,623.86 = 5,881/x
3. Step 3: Cross multiply
   10,596.82x = 14,623.86 × 5,881
4. Step 4: Simplify right side
   10,596.82x = 86,002,920.66
5. Step 5: Solve for x
   x = 86,002,920.66/10,596.82
6. Step 6: Final answer
   x = 8,115.92