Finding the Fourth Proportional to 1,196.76, 1,797.66 and 1,164.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.76 : 1,797.66 = 1,164.36 : x
2. Step 2: Convert to fraction form
   1,196.76/1,797.66 = 1,164.36/x
3. Step 3: Cross multiply
   1,196.76x = 1,797.66 × 1,164.36
4. Step 4: Simplify right side
   1,196.76x = 2,093,123.40
5. Step 5: Solve for x
   x = 2,093,123.40/1,196.76
6. Step 6: Final answer
   x = 1,748.99