Finding the Fourth Proportional to 2,513.64, 3,469.56 and 1,466.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.64 : 3,469.56 = 1,466.40 : x
2. Step 2: Convert to fraction form
   2,513.64/3,469.56 = 1,466.40/x
3. Step 3: Cross multiply
   2,513.64x = 3,469.56 × 1,466.40
4. Step 4: Simplify right side
   2,513.64x = 5,087,762.78
5. Step 5: Solve for x
   x = 5,087,762.78/2,513.64
6. Step 6: Final answer
   x = 2,024.06