Finding the Fourth Proportional to 6,164.46, 8,505.62 and 3,646.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.46 : 8,505.62 = 3,646.72 : x
2. Step 2: Convert to fraction form
   6,164.46/8,505.62 = 3,646.72/x
3. Step 3: Cross multiply
   6,164.46x = 8,505.62 × 3,646.72
4. Step 4: Simplify right side
   6,164.46x = 31,017,614.57
5. Step 5: Solve for x
   x = 31,017,614.57/6,164.46
6. Step 6: Final answer
   x = 5,031.68