Finding the Fourth Proportional to 1,185.74, 1,636.23 and 713.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.74 : 1,636.23 = 713.54 : x
2. Step 2: Convert to fraction form
   1,185.74/1,636.23 = 713.54/x
3. Step 3: Cross multiply
   1,185.74x = 1,636.23 × 713.54
4. Step 4: Simplify right side
   1,185.74x = 1,167,515.55
5. Step 5: Solve for x
   x = 1,167,515.55/1,185.74
6. Step 6: Final answer
   x = 984.63