Finding the Fourth Proportional to 1,164.72, 1,747.56 and 678.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.72 : 1,747.56 = 678.12 : x
2. Step 2: Convert to fraction form
   1,164.72/1,747.56 = 678.12/x
3. Step 3: Cross multiply
   1,164.72x = 1,747.56 × 678.12
4. Step 4: Simplify right side
   1,164.72x = 1,185,055.39
5. Step 5: Solve for x
   x = 1,185,055.39/1,164.72
6. Step 6: Final answer
   x = 1,017.46