Finding the Fourth Proportional to 6,164.98, 8,507.43 and 3,647.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.98 : 8,507.43 = 3,647.16 : x
2. Step 2: Convert to fraction form
   6,164.98/8,507.43 = 3,647.16/x
3. Step 3: Cross multiply
   6,164.98x = 8,507.43 × 3,647.16
4. Step 4: Simplify right side
   6,164.98x = 31,027,958.40
5. Step 5: Solve for x
   x = 31,027,958.40/6,164.98
6. Step 6: Final answer
   x = 5,032.94