Finding the Fourth Proportional to 10,090.89, 13,920.21 and 5,896.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.89 : 13,920.21 = 5,896.71 : x
2. Step 2: Convert to fraction form
   10,090.89/13,920.21 = 5,896.71/x
3. Step 3: Cross multiply
   10,090.89x = 13,920.21 × 5,896.71
4. Step 4: Simplify right side
   10,090.89x = 82,083,441.51
5. Step 5: Solve for x
   x = 82,083,441.51/10,090.89
6. Step 6: Final answer
   x = 8,134.41