Finding the Fourth Proportional to 6,165.48, 8,506.29 and 3,648.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,165.48 : 8,506.29 = 3,648.42 : x
2. Step 2: Convert to fraction form
   6,165.48/8,506.29 = 3,648.42/x
3. Step 3: Cross multiply
   6,165.48x = 8,506.29 × 3,648.42
4. Step 4: Simplify right side
   6,165.48x = 31,034,518.56
5. Step 5: Solve for x
   x = 31,034,518.56/6,165.48
6. Step 6: Final answer
   x = 5,033.59