Finding the Fourth Proportional to 5,986.69, 8,257.40 and 5,188.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,986.69 : 8,257.40 = 5,188.57 : x
2. Step 2: Convert to fraction form
   5,986.69/8,257.40 = 5,188.57/x
3. Step 3: Cross multiply
   5,986.69x = 8,257.40 × 5,188.57
4. Step 4: Simplify right side
   5,986.69x = 42,844,097.92
5. Step 5: Solve for x
   x = 42,844,097.92/5,986.69
6. Step 6: Final answer
   x = 7,156.56