Finding the Fourth Proportional to 10,091.89, 13,921.59 and 5,897.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.89 : 13,921.59 = 5,897.71 : x
2. Step 2: Convert to fraction form
   10,091.89/13,921.59 = 5,897.71/x
3. Step 3: Cross multiply
   10,091.89x = 13,921.59 × 5,897.71
4. Step 4: Simplify right side
   10,091.89x = 82,105,500.56
5. Step 5: Solve for x
   x = 82,105,500.56/10,091.89
6. Step 6: Final answer
   x = 8,135.79