Finding the Fourth Proportional to 10,141.96, 13,995.64 and 5,665.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.96 : 13,995.64 = 5,665.56 : x
2. Step 2: Convert to fraction form
   10,141.96/13,995.64 = 5,665.56/x
3. Step 3: Cross multiply
   10,141.96x = 13,995.64 × 5,665.56
4. Step 4: Simplify right side
   10,141.96x = 79,293,138.16
5. Step 5: Solve for x
   x = 79,293,138.16/10,141.96
6. Step 6: Final answer
   x = 7,818.32