Finding the Fourth Proportional to 7,769.88, 10,722.46 and 4,233.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769.88 : 10,722.46 = 4,233.10 : x
2. Step 2: Convert to fraction form
   7,769.88/10,722.46 = 4,233.10/x
3. Step 3: Cross multiply
   7,769.88x = 10,722.46 × 4,233.10
4. Step 4: Simplify right side
   7,769.88x = 45,389,245.43
5. Step 5: Solve for x
   x = 45,389,245.43/7,769.88
6. Step 6: Final answer
   x = 5,841.69