Finding the Fourth Proportional to 1,185.57, 1,636.97 and 766.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.57 : 1,636.97 = 766.18 : x
2. Step 2: Convert to fraction form
   1,185.57/1,636.97 = 766.18/x
3. Step 3: Cross multiply
   1,185.57x = 1,636.97 × 766.18
4. Step 4: Simplify right side
   1,185.57x = 1,254,205.75
5. Step 5: Solve for x
   x = 1,254,205.75/1,185.57
6. Step 6: Final answer
   x = 1,057.89