Finding the Fourth Proportional to 1,638.78, 2,262.18 and 1,196.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.78 : 2,262.18 = 1,196.52 : x
2. Step 2: Convert to fraction form
   1,638.78/2,262.18 = 1,196.52/x
3. Step 3: Cross multiply
   1,638.78x = 2,262.18 × 1,196.52
4. Step 4: Simplify right side
   1,638.78x = 2,706,743.61
5. Step 5: Solve for x
   x = 2,706,743.61/1,638.78
6. Step 6: Final answer
   x = 1,651.68