Finding the Fourth Proportional to 10,141.40, 13,995.75 and 5,665.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.40 : 13,995.75 = 5,665.47 : x
2. Step 2: Convert to fraction form
   10,141.40/13,995.75 = 5,665.47/x
3. Step 3: Cross multiply
   10,141.40x = 13,995.75 × 5,665.47
4. Step 4: Simplify right side
   10,141.40x = 79,292,501.75
5. Step 5: Solve for x
   x = 79,292,501.75/10,141.40
6. Step 6: Final answer
   x = 7,818.70