Finding the Fourth Proportional to 2,466.24, 3,696.52 and 1,005.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.24 : 3,696.52 = 1,005.81 : x
2. Step 2: Convert to fraction form
   2,466.24/3,696.52 = 1,005.81/x
3. Step 3: Cross multiply
   2,466.24x = 3,696.52 × 1,005.81
4. Step 4: Simplify right side
   2,466.24x = 3,717,996.78
5. Step 5: Solve for x
   x = 3,717,996.78/2,466.24
6. Step 6: Final answer
   x = 1,507.56