Finding the Fourth Proportional to 1,238.31, 1,857.50 and 498.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.31 : 1,857.50 = 498.00 : x
2. Step 2: Convert to fraction form
   1,238.31/1,857.50 = 498.00/x
3. Step 3: Cross multiply
   1,238.31x = 1,857.50 × 498.00
4. Step 4: Simplify right side
   1,238.31x = 925,025.54
5. Step 5: Solve for x
   x = 925,025.54/1,238.31
6. Step 6: Final answer
   x = 747.01