Finding the Fourth Proportional to 1,123.82, 1,685.75 and 474.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.82 : 1,685.75 = 474.56 : x
2. Step 2: Convert to fraction form
   1,123.82/1,685.75 = 474.56/x
3. Step 3: Cross multiply
   1,123.82x = 1,685.75 × 474.56
4. Step 4: Simplify right side
   1,123.82x = 799,989.52
5. Step 5: Solve for x
   x = 799,989.52/1,123.82
6. Step 6: Final answer
   x = 711.85