Finding the Fourth Proportional to 1,005.69, 1,507.59 and 517.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.69 : 1,507.59 = 517.68 : x
2. Step 2: Convert to fraction form
   1,005.69/1,507.59 = 517.68/x
3. Step 3: Cross multiply
   1,005.69x = 1,507.59 × 517.68
4. Step 4: Simplify right side
   1,005.69x = 780,449.19
5. Step 5: Solve for x
   x = 780,449.19/1,005.69
6. Step 6: Final answer
   x = 776.03