Finding the Fourth Proportional to 1,004.72, 1,506.20 and 517.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.72 : 1,506.20 = 517.52 : x
2. Step 2: Convert to fraction form
   1,004.72/1,506.20 = 517.52/x
3. Step 3: Cross multiply
   1,004.72x = 1,506.20 × 517.52
4. Step 4: Simplify right side
   1,004.72x = 779,488.62
5. Step 5: Solve for x
   x = 779,488.62/1,004.72
6. Step 6: Final answer
   x = 775.83