Finding the Fourth Proportional to 1,185.17, 1,776.20 and 774.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.17 : 1,776.20 = 774.09 : x
2. Step 2: Convert to fraction form
   1,185.17/1,776.20 = 774.09/x
3. Step 3: Cross multiply
   1,185.17x = 1,776.20 × 774.09
4. Step 4: Simplify right side
   1,185.17x = 1,374,934.79
5. Step 5: Solve for x
   x = 1,374,934.79/1,185.17
6. Step 6: Final answer
   x = 1,160.12