Finding the Fourth Proportional to 10,635.49, 14,677.50 and 5,919.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,635.49 : 14,677.50 = 5,919.67 : x
2. Step 2: Convert to fraction form
   10,635.49/14,677.50 = 5,919.67/x
3. Step 3: Cross multiply
   10,635.49x = 14,677.50 × 5,919.67
4. Step 4: Simplify right side
   10,635.49x = 86,885,956.43
5. Step 5: Solve for x
   x = 86,885,956.43/10,635.49
6. Step 6: Final answer
   x = 8,169.44