Finding the Fourth Proportional to 1,074.72, 1,611.54 and 458.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.72 : 1,611.54 = 458.09 : x
2. Step 2: Convert to fraction form
   1,074.72/1,611.54 = 458.09/x
3. Step 3: Cross multiply
   1,074.72x = 1,611.54 × 458.09
4. Step 4: Simplify right side
   1,074.72x = 738,222.30
5. Step 5: Solve for x
   x = 738,222.30/1,074.72
6. Step 6: Final answer
   x = 686.90