Finding the Fourth Proportional to 1,638.26, 2,259.86 and 1,009.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.26 : 2,259.86 = 1,009.10 : x
2. Step 2: Convert to fraction form
   1,638.26/2,259.86 = 1,009.10/x
3. Step 3: Cross multiply
   1,638.26x = 2,259.86 × 1,009.10
4. Step 4: Simplify right side
   1,638.26x = 2,280,424.73
5. Step 5: Solve for x
   x = 2,280,424.73/1,638.26
6. Step 6: Final answer
   x = 1,391.98