Finding the Fourth Proportional to 2,464.82, 3,697.16 and 1,005.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.82 : 3,697.16 = 1,005.02 : x
2. Step 2: Convert to fraction form
   2,464.82/3,697.16 = 1,005.02/x
3. Step 3: Cross multiply
   2,464.82x = 3,697.16 × 1,005.02
4. Step 4: Simplify right side
   2,464.82x = 3,715,696.23
5. Step 5: Solve for x
   x = 3,715,696.23/2,464.82
6. Step 6: Final answer
   x = 1,507.49