Finding the Fourth Proportional to 5,185.58, 7,767.02 and 5,071.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.58 : 7,767.02 = 5,071.43 : x
2. Step 2: Convert to fraction form
   5,185.58/7,767.02 = 5,071.43/x
3. Step 3: Cross multiply
   5,185.58x = 7,767.02 × 5,071.43
4. Step 4: Simplify right side
   5,185.58x = 39,389,930.33
5. Step 5: Solve for x
   x = 39,389,930.33/5,185.58
6. Step 6: Final answer
   x = 7,596.06