Finding the Fourth Proportional to 1,196.78, 1,652.00 and 755.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.78 : 1,652.00 = 755.33 : x
2. Step 2: Convert to fraction form
   1,196.78/1,652.00 = 755.33/x
3. Step 3: Cross multiply
   1,196.78x = 1,652.00 × 755.33
4. Step 4: Simplify right side
   1,196.78x = 1,247,793.12
5. Step 5: Solve for x
   x = 1,247,793.12/1,196.78
6. Step 6: Final answer
   x = 1,042.63