Finding the Fourth Proportional to 1,238.54, 1,858.41 and 498.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.54 : 1,858.41 = 498.12 : x
2. Step 2: Convert to fraction form
   1,238.54/1,858.41 = 498.12/x
3. Step 3: Cross multiply
   1,238.54x = 1,858.41 × 498.12
4. Step 4: Simplify right side
   1,238.54x = 925,702.52
5. Step 5: Solve for x
   x = 925,702.52/1,238.54
6. Step 6: Final answer
   x = 747.42