Finding the Fourth Proportional to 1,114.48, 1,671.76 and 498.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.48 : 1,671.76 = 498.20 : x
2. Step 2: Convert to fraction form
   1,114.48/1,671.76 = 498.20/x
3. Step 3: Cross multiply
   1,114.48x = 1,671.76 × 498.20
4. Step 4: Simplify right side
   1,114.48x = 832,870.83
5. Step 5: Solve for x
   x = 832,870.83/1,114.48
6. Step 6: Final answer
   x = 747.32