Finding the Fourth Proportional to 10,141.22, 13,993.81 and 5,891.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.22 : 13,993.81 = 5,891.46 : x
2. Step 2: Convert to fraction form
   10,141.22/13,993.81 = 5,891.46/x
3. Step 3: Cross multiply
   10,141.22x = 13,993.81 × 5,891.46
4. Step 4: Simplify right side
   10,141.22x = 82,443,957.13
5. Step 5: Solve for x
   x = 82,443,957.13/10,141.22
6. Step 6: Final answer
   x = 8,129.59