Finding the Fourth Proportional to 1,003.68, 1,504.72 and 516.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.68 : 1,504.72 = 516.16 : x
2. Step 2: Convert to fraction form
   1,003.68/1,504.72 = 516.16/x
3. Step 3: Cross multiply
   1,003.68x = 1,504.72 × 516.16
4. Step 4: Simplify right side
   1,003.68x = 776,676.28
5. Step 5: Solve for x
   x = 776,676.28/1,003.68
6. Step 6: Final answer
   x = 773.83