Finding the Fourth Proportional to 10,362, 14,299.56 and 5,946

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362 : 14,299.56 = 5,946 : x
2. Step 2: Convert to fraction form
   10,362/14,299.56 = 5,946/x
3. Step 3: Cross multiply
   10,362x = 14,299.56 × 5,946
4. Step 4: Simplify right side
   10,362x = 85,025,183.76
5. Step 5: Solve for x
   x = 85,025,183.76/10,362
6. Step 6: Final answer
   x = 8,205.48