Finding the Fourth Proportional to 1,638.73, 2,259.78 and 1,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.73 : 2,259.78 = 1,166.50 : x
2. Step 2: Convert to fraction form
   1,638.73/2,259.78 = 1,166.50/x
3. Step 3: Cross multiply
   1,638.73x = 2,259.78 × 1,166.50
4. Step 4: Simplify right side
   1,638.73x = 2,636,022.07
5. Step 5: Solve for x
   x = 2,636,022.07/1,638.73
6. Step 6: Final answer
   x = 1,608.58