Finding the Fourth Proportional to 1,123.96, 1,685.76 and 302.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.96 : 1,685.76 = 302.24 : x
2. Step 2: Convert to fraction form
   1,123.96/1,685.76 = 302.24/x
3. Step 3: Cross multiply
   1,123.96x = 1,685.76 × 302.24
4. Step 4: Simplify right side
   1,123.96x = 509,504.10
5. Step 5: Solve for x
   x = 509,504.10/1,123.96
6. Step 6: Final answer
   x = 453.31