Finding the Fourth Proportional to 1,185.15, 1,776.69 and 768.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.15 : 1,776.69 = 768.87 : x
2. Step 2: Convert to fraction form
   1,185.15/1,776.69 = 768.87/x
3. Step 3: Cross multiply
   1,185.15x = 1,776.69 × 768.87
4. Step 4: Simplify right side
   1,185.15x = 1,366,043.64
5. Step 5: Solve for x
   x = 1,366,043.64/1,185.15
6. Step 6: Final answer
   x = 1,152.63