Finding the Fourth Proportional to 10,299.91, 14,213.31 and 5,823.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,299.91 : 14,213.31 = 5,823.38 : x
2. Step 2: Convert to fraction form
   10,299.91/14,213.31 = 5,823.38/x
3. Step 3: Cross multiply
   10,299.91x = 14,213.31 × 5,823.38
4. Step 4: Simplify right side
   10,299.91x = 82,769,505.19
5. Step 5: Solve for x
   x = 82,769,505.19/10,299.91
6. Step 6: Final answer
   x = 8,035.94