Finding the Fourth Proportional to 10,802, 14,906.76 and 5,834

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802 : 14,906.76 = 5,834 : x
2. Step 2: Convert to fraction form
   10,802/14,906.76 = 5,834/x
3. Step 3: Cross multiply
   10,802x = 14,906.76 × 5,834
4. Step 4: Simplify right side
   10,802x = 86,966,037.84
5. Step 5: Solve for x
   x = 86,966,037.84/10,802
6. Step 6: Final answer
   x = 8,050.92