Finding the Fourth Proportional to 10,142.69, 13,995.88 and 5,835.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.69 : 13,995.88 = 5,835.67 : x
2. Step 2: Convert to fraction form
   10,142.69/13,995.88 = 5,835.67/x
3. Step 3: Cross multiply
   10,142.69x = 13,995.88 × 5,835.67
4. Step 4: Simplify right side
   10,142.69x = 81,675,287.46
5. Step 5: Solve for x
   x = 81,675,287.46/10,142.69
6. Step 6: Final answer
   x = 8,052.63