Finding the Fourth Proportional to 1,238.32, 1,857.27 and 458.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.32 : 1,857.27 = 458.69 : x
2. Step 2: Convert to fraction form
   1,238.32/1,857.27 = 458.69/x
3. Step 3: Cross multiply
   1,238.32x = 1,857.27 × 458.69
4. Step 4: Simplify right side
   1,238.32x = 851,911.18
5. Step 5: Solve for x
   x = 851,911.18/1,238.32
6. Step 6: Final answer
   x = 687.96