Finding the Fourth Proportional to 5,196.42, 7,797.33 and 3,971.70

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.42 : 7,797.33 = 3,971.70 : x
2. Step 2: Convert to fraction form
   5,196.42/7,797.33 = 3,971.70/x
3. Step 3: Cross multiply
   5,196.42x = 7,797.33 × 3,971.70
4. Step 4: Simplify right side
   5,196.42x = 30,968,655.56
5. Step 5: Solve for x
   x = 30,968,655.56/5,196.42
6. Step 6: Final answer
   x = 5,959.61