Finding the Fourth Proportional to 2,462.64, 3,695.32 and 1,002.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.64 : 3,695.32 = 1,002.82 : x
2. Step 2: Convert to fraction form
   2,462.64/3,695.32 = 1,002.82/x
3. Step 3: Cross multiply
   2,462.64x = 3,695.32 × 1,002.82
4. Step 4: Simplify right side
   2,462.64x = 3,705,740.80
5. Step 5: Solve for x
   x = 3,705,740.80/2,462.64
6. Step 6: Final answer
   x = 1,504.78