Finding the Fourth Proportional to 2,094.73, 3,142.45 and 688.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,094.73 : 3,142.45 = 688.77 : x
2. Step 2: Convert to fraction form
   2,094.73/3,142.45 = 688.77/x
3. Step 3: Cross multiply
   2,094.73x = 3,142.45 × 688.77
4. Step 4: Simplify right side
   2,094.73x = 2,164,426.15
5. Step 5: Solve for x
   x = 2,164,426.15/2,094.73
6. Step 6: Final answer
   x = 1,033.27