Finding the Fourth Proportional to 1,005.98, 1,507.59 and 457.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.98 : 1,507.59 = 457.49 : x
2. Step 2: Convert to fraction form
   1,005.98/1,507.59 = 457.49/x
3. Step 3: Cross multiply
   1,005.98x = 1,507.59 × 457.49
4. Step 4: Simplify right side
   1,005.98x = 689,707.35
5. Step 5: Solve for x
   x = 689,707.35/1,005.98
6. Step 6: Final answer
   x = 685.61