Finding the Fourth Proportional to 1,196.76, 1,782.16 and 1,166.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.76 : 1,782.16 = 1,166.04 : x
2. Step 2: Convert to fraction form
   1,196.76/1,782.16 = 1,166.04/x
3. Step 3: Cross multiply
   1,196.76x = 1,782.16 × 1,166.04
4. Step 4: Simplify right side
   1,196.76x = 2,078,069.85
5. Step 5: Solve for x
   x = 2,078,069.85/1,196.76
6. Step 6: Final answer
   x = 1,736.41