Finding the Fourth Proportional to 3,674.30, 5,488.20 and 3,461.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,674.30 : 5,488.20 = 3,461.06 : x
2. Step 2: Convert to fraction form
   3,674.30/5,488.20 = 3,461.06/x
3. Step 3: Cross multiply
   3,674.30x = 5,488.20 × 3,461.06
4. Step 4: Simplify right side
   3,674.30x = 18,994,962.05
5. Step 5: Solve for x
   x = 18,994,962.05/3,674.30
6. Step 6: Final answer
   x = 5,169.69