Finding the Fourth Proportional to 1,123.42, 1,684.98 and 301.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.42 : 1,684.98 = 301.76 : x
2. Step 2: Convert to fraction form
   1,123.42/1,684.98 = 301.76/x
3. Step 3: Cross multiply
   1,123.42x = 1,684.98 × 301.76
4. Step 4: Simplify right side
   1,123.42x = 508,459.56
5. Step 5: Solve for x
   x = 508,459.56/1,123.42
6. Step 6: Final answer
   x = 452.60