Finding the Fourth Proportional to 10,678.50, 14,736.33 and 5,962.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.50 : 14,736.33 = 5,962.82 : x
2. Step 2: Convert to fraction form
   10,678.50/14,736.33 = 5,962.82/x
3. Step 3: Cross multiply
   10,678.50x = 14,736.33 × 5,962.82
4. Step 4: Simplify right side
   10,678.50x = 87,870,009.57
5. Step 5: Solve for x
   x = 87,870,009.57/10,678.50
6. Step 6: Final answer
   x = 8,228.68