Finding the Fourth Proportional to 6,164.35, 8,506.14 and 3,646.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.35 : 8,506.14 = 3,646.55 : x
2. Step 2: Convert to fraction form
   6,164.35/8,506.14 = 3,646.55/x
3. Step 3: Cross multiply
   6,164.35x = 8,506.14 × 3,646.55
4. Step 4: Simplify right side
   6,164.35x = 31,018,064.82
5. Step 5: Solve for x
   x = 31,018,064.82/6,164.35
6. Step 6: Final answer
   x = 5,031.85