Finding the Fourth Proportional to 1,196.06, 1,791.89 and 762.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.06 : 1,791.89 = 762.30 : x
2. Step 2: Convert to fraction form
   1,196.06/1,791.89 = 762.30/x
3. Step 3: Cross multiply
   1,196.06x = 1,791.89 × 762.30
4. Step 4: Simplify right side
   1,196.06x = 1,365,957.75
5. Step 5: Solve for x
   x = 1,365,957.75/1,196.06
6. Step 6: Final answer
   x = 1,142.05