Finding the Fourth Proportional to 10,711.82, 14,782.51 and 5,996.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,711.82 : 14,782.51 = 5,996.09 : x
2. Step 2: Convert to fraction form
   10,711.82/14,782.51 = 5,996.09/x
3. Step 3: Cross multiply
   10,711.82x = 14,782.51 × 5,996.09
4. Step 4: Simplify right side
   10,711.82x = 88,637,304.84
5. Step 5: Solve for x
   x = 88,637,304.84/10,711.82
6. Step 6: Final answer
   x = 8,274.72