Finding the Fourth Proportional to 2,300.64, 3,171.12 and 1,600.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,300.64 : 3,171.12 = 1,600.80 : x
2. Step 2: Convert to fraction form
   2,300.64/3,171.12 = 1,600.80/x
3. Step 3: Cross multiply
   2,300.64x = 3,171.12 × 1,600.80
4. Step 4: Simplify right side
   2,300.64x = 5,076,328.90
5. Step 5: Solve for x
   x = 5,076,328.90/2,300.64
6. Step 6: Final answer
   x = 2,206.49