Finding the Fourth Proportional to 1,601.76, 2,399.46 and 1,466.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.76 : 2,399.46 = 1,466.40 : x
2. Step 2: Convert to fraction form
   1,601.76/2,399.46 = 1,466.40/x
3. Step 3: Cross multiply
   1,601.76x = 2,399.46 × 1,466.40
4. Step 4: Simplify right side
   1,601.76x = 3,518,568.14
5. Step 5: Solve for x
   x = 3,518,568.14/1,601.76
6. Step 6: Final answer
   x = 2,196.69