Finding the Fourth Proportional to 1,186.55, 1,779.78 and 796.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.55 : 1,779.78 = 796.72 : x
2. Step 2: Convert to fraction form
   1,186.55/1,779.78 = 796.72/x
3. Step 3: Cross multiply
   1,186.55x = 1,779.78 × 796.72
4. Step 4: Simplify right side
   1,186.55x = 1,417,983.72
5. Step 5: Solve for x
   x = 1,417,983.72/1,186.55
6. Step 6: Final answer
   x = 1,195.04