Finding the Fourth Proportional to 1,185.84, 1,636.38 and 743.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.84 : 1,636.38 = 743.82 : x
2. Step 2: Convert to fraction form
   1,185.84/1,636.38 = 743.82/x
3. Step 3: Cross multiply
   1,185.84x = 1,636.38 × 743.82
4. Step 4: Simplify right side
   1,185.84x = 1,217,172.17
5. Step 5: Solve for x
   x = 1,217,172.17/1,185.84
6. Step 6: Final answer
   x = 1,026.42