Finding the Fourth Proportional to 1,123.11, 1,684.38 and 498.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.11 : 1,684.38 = 498.06 : x
2. Step 2: Convert to fraction form
   1,123.11/1,684.38 = 498.06/x
3. Step 3: Cross multiply
   1,123.11x = 1,684.38 × 498.06
4. Step 4: Simplify right side
   1,123.11x = 838,915.13
5. Step 5: Solve for x
   x = 838,915.13/1,123.11
6. Step 6: Final answer
   x = 746.96