Finding the Fourth Proportional to 1,123.27, 1,683.93 and 464.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.27 : 1,683.93 = 464.74 : x
2. Step 2: Convert to fraction form
   1,123.27/1,683.93 = 464.74/x
3. Step 3: Cross multiply
   1,123.27x = 1,683.93 × 464.74
4. Step 4: Simplify right side
   1,123.27x = 782,581.21
5. Step 5: Solve for x
   x = 782,581.21/1,123.27
6. Step 6: Final answer
   x = 696.70