Finding the Fourth Proportional to 6,171.36, 8,513.52 and 3,812.64

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171.36 : 8,513.52 = 3,812.64 : x
2. Step 2: Convert to fraction form
   6,171.36/8,513.52 = 3,812.64/x
3. Step 3: Cross multiply
   6,171.36x = 8,513.52 × 3,812.64
4. Step 4: Simplify right side
   6,171.36x = 32,458,986.89
5. Step 5: Solve for x
   x = 32,458,986.89/6,171.36
6. Step 6: Final answer
   x = 5,259.62