Finding the Fourth Proportional to 6,506.52, 8,978.33 and 3,674.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.52 : 8,978.33 = 3,674.06 : x
2. Step 2: Convert to fraction form
   6,506.52/8,978.33 = 3,674.06/x
3. Step 3: Cross multiply
   6,506.52x = 8,978.33 × 3,674.06
4. Step 4: Simplify right side
   6,506.52x = 32,986,859.86
5. Step 5: Solve for x
   x = 32,986,859.86/6,506.52
6. Step 6: Final answer
   x = 5,069.82