Finding the Fourth Proportional to 1,406.76, 1,941.30 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.76 : 1,941.30 = 768.69 : x
2. Step 2: Convert to fraction form
   1,406.76/1,941.30 = 768.69/x
3. Step 3: Cross multiply
   1,406.76x = 1,941.30 × 768.69
4. Step 4: Simplify right side
   1,406.76x = 1,492,257.90
5. Step 5: Solve for x
   x = 1,492,257.90/1,406.76
6. Step 6: Final answer
   x = 1,060.78