Finding the Fourth Proportional to 6,795.50, 10,180.22 and 5,233.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,795.50 : 10,180.22 = 5,233.14 : x
2. Step 2: Convert to fraction form
   6,795.50/10,180.22 = 5,233.14/x
3. Step 3: Cross multiply
   6,795.50x = 10,180.22 × 5,233.14
4. Step 4: Simplify right side
   6,795.50x = 53,274,490.33
5. Step 5: Solve for x
   x = 53,274,490.33/6,795.50
6. Step 6: Final answer
   x = 7,839.68