Finding the Fourth Proportional to 1,364.09, 1,882.26 and 766.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.09 : 1,882.26 = 766.62 : x
2. Step 2: Convert to fraction form
   1,364.09/1,882.26 = 766.62/x
3. Step 3: Cross multiply
   1,364.09x = 1,882.26 × 766.62
4. Step 4: Simplify right side
   1,364.09x = 1,442,978.16
5. Step 5: Solve for x
   x = 1,442,978.16/1,364.09
6. Step 6: Final answer
   x = 1,057.84