Finding the Fourth Proportional to 5,435.65, 8,144.56 and 5,233.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,435.65 : 8,144.56 = 5,233.38 : x
2. Step 2: Convert to fraction form
   5,435.65/8,144.56 = 5,233.38/x
3. Step 3: Cross multiply
   5,435.65x = 8,144.56 × 5,233.38
4. Step 4: Simplify right side
   5,435.65x = 42,623,577.41
5. Step 5: Solve for x
   x = 42,623,577.41/5,435.65
6. Step 6: Final answer
   x = 7,841.49