Finding the Fourth Proportional to 2,466.50, 3,696.72 and 1,165.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.50 : 3,696.72 = 1,165.28 : x
2. Step 2: Convert to fraction form
   2,466.50/3,696.72 = 1,165.28/x
3. Step 3: Cross multiply
   2,466.50x = 3,696.72 × 1,165.28
4. Step 4: Simplify right side
   2,466.50x = 4,307,713.88
5. Step 5: Solve for x
   x = 4,307,713.88/2,466.50
6. Step 6: Final answer
   x = 1,746.49