Finding the Fourth Proportional to 7,802.69, 10,767.69 and 4,217.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,802.69 : 10,767.69 = 4,217.63 : x
2. Step 2: Convert to fraction form
   7,802.69/10,767.69 = 4,217.63/x
3. Step 3: Cross multiply
   7,802.69x = 10,767.69 × 4,217.63
4. Step 4: Simplify right side
   7,802.69x = 45,414,078.54
5. Step 5: Solve for x
   x = 45,414,078.54/7,802.69
6. Step 6: Final answer
   x = 5,820.31