Finding the Fourth Proportional to 1,116.37, 1,674.56 and 458.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.37 : 1,674.56 = 458.61 : x
2. Step 2: Convert to fraction form
   1,116.37/1,674.56 = 458.61/x
3. Step 3: Cross multiply
   1,116.37x = 1,674.56 × 458.61
4. Step 4: Simplify right side
   1,116.37x = 767,959.30
5. Step 5: Solve for x
   x = 767,959.30/1,116.37
6. Step 6: Final answer
   x = 687.91