Finding the Fourth Proportional to 7,760.86, 10,709.99 and 4,224.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,760.86 : 10,709.99 = 4,224.10 : x
2. Step 2: Convert to fraction form
   7,760.86/10,709.99 = 4,224.10/x
3. Step 3: Cross multiply
   7,760.86x = 10,709.99 × 4,224.10
4. Step 4: Simplify right side
   7,760.86x = 45,240,020.86
5. Step 5: Solve for x
   x = 45,240,020.86/7,760.86
6. Step 6: Final answer
   x = 5,829.25