Finding the Fourth Proportional to 1,123.74, 1,685.94 and 465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.74 : 1,685.94 = 465.50 : x
2. Step 2: Convert to fraction form
   1,123.74/1,685.94 = 465.50/x
3. Step 3: Cross multiply
   1,123.74x = 1,685.94 × 465.50
4. Step 4: Simplify right side
   1,123.74x = 784,794.89
5. Step 5: Solve for x
   x = 784,794.89/1,123.74
6. Step 6: Final answer
   x = 698.38