Finding the Fourth Proportional to 1,638.64, 2,262.18 and 1,264.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.64 : 2,262.18 = 1,264.81 : x
2. Step 2: Convert to fraction form
   1,638.64/2,262.18 = 1,264.81/x
3. Step 3: Cross multiply
   1,638.64x = 2,262.18 × 1,264.81
4. Step 4: Simplify right side
   1,638.64x = 2,861,227.89
5. Step 5: Solve for x
   x = 2,861,227.89/1,638.64
6. Step 6: Final answer
   x = 1,746.10