Finding the Fourth Proportional to 1,114.86, 1,671.23 and 498.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.86 : 1,671.23 = 498.23 : x
2. Step 2: Convert to fraction form
   1,114.86/1,671.23 = 498.23/x
3. Step 3: Cross multiply
   1,114.86x = 1,671.23 × 498.23
4. Step 4: Simplify right side
   1,114.86x = 832,651.38
5. Step 5: Solve for x
   x = 832,651.38/1,114.86
6. Step 6: Final answer
   x = 746.86