Finding the Fourth Proportional to 10,141.80, 13,995.65 and 5,665.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.80 : 13,995.65 = 5,665.57 : x
2. Step 2: Convert to fraction form
   10,141.80/13,995.65 = 5,665.57/x
3. Step 3: Cross multiply
   10,141.80x = 13,995.65 × 5,665.57
4. Step 4: Simplify right side
   10,141.80x = 79,293,334.77
5. Step 5: Solve for x
   x = 79,293,334.77/10,141.80
6. Step 6: Final answer
   x = 7,818.47