Finding the Fourth Proportional to 1,638.69, 2,262.33 and 1,264.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.69 : 2,262.33 = 1,264.89 : x
2. Step 2: Convert to fraction form
   1,638.69/2,262.33 = 1,264.89/x
3. Step 3: Cross multiply
   1,638.69x = 2,262.33 × 1,264.89
4. Step 4: Simplify right side
   1,638.69x = 2,861,598.59
5. Step 5: Solve for x
   x = 2,861,598.59/1,638.69
6. Step 6: Final answer
   x = 1,746.27