Finding the Fourth Proportional to 1,186.62, 1,636.82 and 766.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.62 : 1,636.82 = 766.31 : x
2. Step 2: Convert to fraction form
   1,186.62/1,636.82 = 766.31/x
3. Step 3: Cross multiply
   1,186.62x = 1,636.82 × 766.31
4. Step 4: Simplify right side
   1,186.62x = 1,254,305.27
5. Step 5: Solve for x
   x = 1,254,305.27/1,186.62
6. Step 6: Final answer
   x = 1,057.04