Finding the Fourth Proportional to 1,114.59, 1,671.92 and 498.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.59 : 1,671.92 = 498.30 : x
2. Step 2: Convert to fraction form
   1,114.59/1,671.92 = 498.30/x
3. Step 3: Cross multiply
   1,114.59x = 1,671.92 × 498.30
4. Step 4: Simplify right side
   1,114.59x = 833,110.37
5. Step 5: Solve for x
   x = 833,110.37/1,114.59
6. Step 6: Final answer
   x = 747.46