Finding the Fourth Proportional to 1,185.93, 1,636.25 and 766.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.93 : 1,636.25 = 766.29 : x
2. Step 2: Convert to fraction form
   1,185.93/1,636.25 = 766.29/x
3. Step 3: Cross multiply
   1,185.93x = 1,636.25 × 766.29
4. Step 4: Simplify right side
   1,185.93x = 1,253,838.18
5. Step 5: Solve for x
   x = 1,253,838.18/1,185.93
6. Step 6: Final answer
   x = 1,057.26