Finding the Fourth Proportional to 1,196.50, 1,794.76 and 512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.50 : 1,794.76 = 512.50 : x
2. Step 2: Convert to fraction form
   1,196.50/1,794.76 = 512.50/x
3. Step 3: Cross multiply
   1,196.50x = 1,794.76 × 512.50
4. Step 4: Simplify right side
   1,196.50x = 919,814.50
5. Step 5: Solve for x
   x = 919,814.50/1,196.50
6. Step 6: Final answer
   x = 768.75