Finding the Fourth Proportional to 1,004.94, 1,506.06 and 517.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.94 : 1,506.06 = 517.59 : x
2. Step 2: Convert to fraction form
   1,004.94/1,506.06 = 517.59/x
3. Step 3: Cross multiply
   1,004.94x = 1,506.06 × 517.59
4. Step 4: Simplify right side
   1,004.94x = 779,521.60
5. Step 5: Solve for x
   x = 779,521.60/1,004.94
6. Step 6: Final answer
   x = 775.69