Finding the Fourth Proportional to 10,141.32, 13,995.03 and 5,665.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.32 : 13,995.03 = 5,665.08 : x
2. Step 2: Convert to fraction form
   10,141.32/13,995.03 = 5,665.08/x
3. Step 3: Cross multiply
   10,141.32x = 13,995.03 × 5,665.08
4. Step 4: Simplify right side
   10,141.32x = 79,282,964.55
5. Step 5: Solve for x
   x = 79,282,964.55/10,141.32
6. Step 6: Final answer
   x = 7,817.82