Finding the Fourth Proportional to 10,091.24, 13,927.78 and 5,897.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.24 : 13,927.78 = 5,897.96 : x
2. Step 2: Convert to fraction form
   10,091.24/13,927.78 = 5,897.96/x
3. Step 3: Cross multiply
   10,091.24x = 13,927.78 × 5,897.96
4. Step 4: Simplify right side
   10,091.24x = 82,145,489.33
5. Step 5: Solve for x
   x = 82,145,489.33/10,091.24
6. Step 6: Final answer
   x = 8,140.28