Finding the Fourth Proportional to 1,003.98, 1,506.57 and 517.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.98 : 1,506.57 = 517.37 : x
2. Step 2: Convert to fraction form
   1,003.98/1,506.57 = 517.37/x
3. Step 3: Cross multiply
   1,003.98x = 1,506.57 × 517.37
4. Step 4: Simplify right side
   1,003.98x = 779,457.49
5. Step 5: Solve for x
   x = 779,457.49/1,003.98
6. Step 6: Final answer
   x = 776.37