Finding the Fourth Proportional to 3,196.64, 4,795.42 and 1,005.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.64 : 4,795.42 = 1,005.54 : x
2. Step 2: Convert to fraction form
   3,196.64/4,795.42 = 1,005.54/x
3. Step 3: Cross multiply
   3,196.64x = 4,795.42 × 1,005.54
4. Step 4: Simplify right side
   3,196.64x = 4,821,984.11
5. Step 5: Solve for x
   x = 4,821,984.11/3,196.64
6. Step 6: Final answer
   x = 1,508.45