Finding the Fourth Proportional to 1,123.62, 1,683.80 and 498.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.62 : 1,683.80 = 498.16 : x
2. Step 2: Convert to fraction form
   1,123.62/1,683.80 = 498.16/x
3. Step 3: Cross multiply
   1,123.62x = 1,683.80 × 498.16
4. Step 4: Simplify right side
   1,123.62x = 838,801.81
5. Step 5: Solve for x
   x = 838,801.81/1,123.62
6. Step 6: Final answer
   x = 746.52