Finding the Fourth Proportional to 1,186.29, 1,635.71 and 766.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.29 : 1,635.71 = 766.62 : x
2. Step 2: Convert to fraction form
   1,186.29/1,635.71 = 766.62/x
3. Step 3: Cross multiply
   1,186.29x = 1,635.71 × 766.62
4. Step 4: Simplify right side
   1,186.29x = 1,253,964.17
5. Step 5: Solve for x
   x = 1,253,964.17/1,186.29
6. Step 6: Final answer
   x = 1,057.05