Finding the Fourth Proportional to 1,202.76, 1,659.83 and 678.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,202.76 : 1,659.83 = 678.83 : x
2. Step 2: Convert to fraction form
   1,202.76/1,659.83 = 678.83/x
3. Step 3: Cross multiply
   1,202.76x = 1,659.83 × 678.83
4. Step 4: Simplify right side
   1,202.76x = 1,126,730.71
5. Step 5: Solve for x
   x = 1,126,730.71/1,202.76
6. Step 6: Final answer
   x = 936.79