Finding the Fourth Proportional to 1,196.50, 1,795.47 and 512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.50 : 1,795.47 = 512.50 : x
2. Step 2: Convert to fraction form
   1,196.50/1,795.47 = 512.50/x
3. Step 3: Cross multiply
   1,196.50x = 1,795.47 × 512.50
4. Step 4: Simplify right side
   1,196.50x = 920,178.38
5. Step 5: Solve for x
   x = 920,178.38/1,196.50
6. Step 6: Final answer
   x = 769.06