Finding the Fourth Proportional to 1,633.69, 2,255.69 and 1,005.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,633.69 : 2,255.69 = 1,005.09 : x
2. Step 2: Convert to fraction form
   1,633.69/2,255.69 = 1,005.09/x
3. Step 3: Cross multiply
   1,633.69x = 2,255.69 × 1,005.09
4. Step 4: Simplify right side
   1,633.69x = 2,267,171.46
5. Step 5: Solve for x
   x = 2,267,171.46/1,633.69
6. Step 6: Final answer
   x = 1,387.76