Finding the Fourth Proportional to 1,185.44, 1,636.00 and 743.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.44 : 1,636.00 = 743.78 : x
2. Step 2: Convert to fraction form
   1,185.44/1,636.00 = 743.78/x
3. Step 3: Cross multiply
   1,185.44x = 1,636.00 × 743.78
4. Step 4: Simplify right side
   1,185.44x = 1,216,826.31
5. Step 5: Solve for x
   x = 1,216,826.31/1,185.44
6. Step 6: Final answer
   x = 1,026.48