Finding the Fourth Proportional to 10,132.73, 13,982.10 and 5,882.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.73 : 13,982.10 = 5,882.96 : x
2. Step 2: Convert to fraction form
   10,132.73/13,982.10 = 5,882.96/x
3. Step 3: Cross multiply
   10,132.73x = 13,982.10 × 5,882.96
4. Step 4: Simplify right side
   10,132.73x = 82,256,110.35
5. Step 5: Solve for x
   x = 82,256,110.35/10,132.73
6. Step 6: Final answer
   x = 8,117.86