Finding the Fourth Proportional to 10,706.82, 14,775.17 and 5,991.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706.82 : 14,775.17 = 5,991.06 : x
2. Step 2: Convert to fraction form
   10,706.82/14,775.17 = 5,991.06/x
3. Step 3: Cross multiply
   10,706.82x = 14,775.17 × 5,991.06
4. Step 4: Simplify right side
   10,706.82x = 88,518,929.98
5. Step 5: Solve for x
   x = 88,518,929.98/10,706.82
6. Step 6: Final answer
   x = 8,267.53