Finding the Fourth Proportional to 10,596.96, 14,623.32 and 5,881.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.96 : 14,623.32 = 5,881.20 : x
2. Step 2: Convert to fraction form
   10,596.96/14,623.32 = 5,881.20/x
3. Step 3: Cross multiply
   10,596.96x = 14,623.32 × 5,881.20
4. Step 4: Simplify right side
   10,596.96x = 86,002,669.58
5. Step 5: Solve for x
   x = 86,002,669.58/10,596.96
6. Step 6: Final answer
   x = 8,115.79