Finding the Fourth Proportional to 10,141.50, 13,995.23 and 5,665.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.50 : 13,995.23 = 5,665.26 : x
2. Step 2: Convert to fraction form
   10,141.50/13,995.23 = 5,665.26/x
3. Step 3: Cross multiply
   10,141.50x = 13,995.23 × 5,665.26
4. Step 4: Simplify right side
   10,141.50x = 79,286,588.38
5. Step 5: Solve for x
   x = 79,286,588.38/10,141.50
6. Step 6: Final answer
   x = 7,818.03