Finding the Fourth Proportional to 1,003.98, 1,505.99 and 456.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.98 : 1,505.99 = 456.11 : x
2. Step 2: Convert to fraction form
   1,003.98/1,505.99 = 456.11/x
3. Step 3: Cross multiply
   1,003.98x = 1,505.99 × 456.11
4. Step 4: Simplify right side
   1,003.98x = 686,894.82
5. Step 5: Solve for x
   x = 686,894.82/1,003.98
6. Step 6: Final answer
   x = 684.18