Finding the Fourth Proportional to 1,634.50, 2,452.83 and 768.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.50 : 2,452.83 = 768.88 : x
2. Step 2: Convert to fraction form
   1,634.50/2,452.83 = 768.88/x
3. Step 3: Cross multiply
   1,634.50x = 2,452.83 × 768.88
4. Step 4: Simplify right side
   1,634.50x = 1,885,931.93
5. Step 5: Solve for x
   x = 1,885,931.93/1,634.50
6. Step 6: Final answer
   x = 1,153.83