Finding the Fourth Proportional to 10,921.65, 16,361.69 and 5,648.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,921.65 : 16,361.69 = 5,648.76 : x
2. Step 2: Convert to fraction form
   10,921.65/16,361.69 = 5,648.76/x
3. Step 3: Cross multiply
   10,921.65x = 16,361.69 × 5,648.76
4. Step 4: Simplify right side
   10,921.65x = 92,423,260.00
5. Step 5: Solve for x
   x = 92,423,260.00/10,921.65
6. Step 6: Final answer
   x = 8,462.39