Finding the Fourth Proportional to 1,406.62, 1,941.17 and 768.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.62 : 1,941.17 = 768.60 : x
2. Step 2: Convert to fraction form
   1,406.62/1,941.17 = 768.60/x
3. Step 3: Cross multiply
   1,406.62x = 1,941.17 × 768.60
4. Step 4: Simplify right side
   1,406.62x = 1,491,977.20
5. Step 5: Solve for x
   x = 1,491,977.20/1,406.62
6. Step 6: Final answer
   x = 1,060.69