Finding the Fourth Proportional to 10,956.84, 16,439.72 and 5,109.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,956.84 : 16,439.72 = 5,109.85 : x
2. Step 2: Convert to fraction form
   10,956.84/16,439.72 = 5,109.85/x
3. Step 3: Cross multiply
   10,956.84x = 16,439.72 × 5,109.85
4. Step 4: Simplify right side
   10,956.84x = 84,004,503.24
5. Step 5: Solve for x
   x = 84,004,503.24/10,956.84
6. Step 6: Final answer
   x = 7,666.85