Finding the Fourth Proportional to 1,123.80, 1,686.12 and 475.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.80 : 1,686.12 = 475.02 : x
2. Step 2: Convert to fraction form
   1,123.80/1,686.12 = 475.02/x
3. Step 3: Cross multiply
   1,123.80x = 1,686.12 × 475.02
4. Step 4: Simplify right side
   1,123.80x = 800,940.72
5. Step 5: Solve for x
   x = 800,940.72/1,123.80
6. Step 6: Final answer
   x = 712.71