Finding the Fourth Proportional to 5,185.45, 7,766.83 and 5,071.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.45 : 7,766.83 = 5,071.31 : x
2. Step 2: Convert to fraction form
   5,185.45/7,766.83 = 5,071.31/x
3. Step 3: Cross multiply
   5,185.45x = 7,766.83 × 5,071.31
4. Step 4: Simplify right side
   5,185.45x = 39,388,002.65
5. Step 5: Solve for x
   x = 39,388,002.65/5,185.45
6. Step 6: Final answer
   x = 7,595.87