Finding the Fourth Proportional to 1,196.48, 1,796.61 and 711.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.48 : 1,796.61 = 711.70 : x
2. Step 2: Convert to fraction form
   1,196.48/1,796.61 = 711.70/x
3. Step 3: Cross multiply
   1,196.48x = 1,796.61 × 711.70
4. Step 4: Simplify right side
   1,196.48x = 1,278,647.34
5. Step 5: Solve for x
   x = 1,278,647.34/1,196.48
6. Step 6: Final answer
   x = 1,068.67