Finding the Fourth Proportional to 10,735.20, 14,814.72 and 6,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735.20 : 14,814.72 = 6,019.50 : x
2. Step 2: Convert to fraction form
   10,735.20/14,814.72 = 6,019.50/x
3. Step 3: Cross multiply
   10,735.20x = 14,814.72 × 6,019.50
4. Step 4: Simplify right side
   10,735.20x = 89,177,207.04
5. Step 5: Solve for x
   x = 89,177,207.04/10,735.20
6. Step 6: Final answer
   x = 8,306.99