Finding the Fourth Proportional to 10,596.29, 14,623.32 and 5,880.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.29 : 14,623.32 = 5,880.57 : x
2. Step 2: Convert to fraction form
   10,596.29/14,623.32 = 5,880.57/x
3. Step 3: Cross multiply
   10,596.29x = 14,623.32 × 5,880.57
4. Step 4: Simplify right side
   10,596.29x = 85,993,456.89
5. Step 5: Solve for x
   x = 85,993,456.89/10,596.29
6. Step 6: Final answer
   x = 8,115.43