Finding the Fourth Proportional to 2,532.04, 3,491.46 and 1,646.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532.04 : 3,491.46 = 1,646.20 : x
2. Step 2: Convert to fraction form
   2,532.04/3,491.46 = 1,646.20/x
3. Step 3: Cross multiply
   2,532.04x = 3,491.46 × 1,646.20
4. Step 4: Simplify right side
   2,532.04x = 5,747,641.45
5. Step 5: Solve for x
   x = 5,747,641.45/2,532.04
6. Step 6: Final answer
   x = 2,269.96