Finding the Fourth Proportional to 1,185.76, 1,636.72 and 743.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.76 : 1,636.72 = 743.36 : x
2. Step 2: Convert to fraction form
   1,185.76/1,636.72 = 743.36/x
3. Step 3: Cross multiply
   1,185.76x = 1,636.72 × 743.36
4. Step 4: Simplify right side
   1,185.76x = 1,216,672.18
5. Step 5: Solve for x
   x = 1,216,672.18/1,185.76
6. Step 6: Final answer
   x = 1,026.07