Finding the Fourth Proportional to 10,678.96, 14,736.89 and 5,899.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.96 : 14,736.89 = 5,899.22 : x
2. Step 2: Convert to fraction form
   10,678.96/14,736.89 = 5,899.22/x
3. Step 3: Cross multiply
   10,678.96x = 14,736.89 × 5,899.22
4. Step 4: Simplify right side
   10,678.96x = 86,936,098.65
5. Step 5: Solve for x
   x = 86,936,098.65/10,678.96
6. Step 6: Final answer
   x = 8,140.87