Finding the Fourth Proportional to 6,164.65, 8,506.10 and 3,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.65 : 8,506.10 = 3,645.50 : x
2. Step 2: Convert to fraction form
   6,164.65/8,506.10 = 3,645.50/x
3. Step 3: Cross multiply
   6,164.65x = 8,506.10 × 3,645.50
4. Step 4: Simplify right side
   6,164.65x = 31,008,987.55
5. Step 5: Solve for x
   x = 31,008,987.55/6,164.65
6. Step 6: Final answer
   x = 5,030.13