Finding the Fourth Proportional to 1,364.34, 1,882.32 and 766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.34 : 1,882.32 = 766.75 : x
2. Step 2: Convert to fraction form
   1,364.34/1,882.32 = 766.75/x
3. Step 3: Cross multiply
   1,364.34x = 1,882.32 × 766.75
4. Step 4: Simplify right side
   1,364.34x = 1,443,269.12
5. Step 5: Solve for x
   x = 1,443,269.12/1,364.34
6. Step 6: Final answer
   x = 1,057.85