Finding the Fourth Proportional to 6,164.85, 8,506.83 and 3,647.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.85 : 8,506.83 = 3,647.05 : x
2. Step 2: Convert to fraction form
   6,164.85/8,506.83 = 3,647.05/x
3. Step 3: Cross multiply
   6,164.85x = 8,506.83 × 3,647.05
4. Step 4: Simplify right side
   6,164.85x = 31,024,834.35
5. Step 5: Solve for x
   x = 31,024,834.35/6,164.85
6. Step 6: Final answer
   x = 5,032.54