Finding the Fourth Proportional to 1,066.32, 1,598.27 and 517.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.32 : 1,598.27 = 517.68 : x
2. Step 2: Convert to fraction form
   1,066.32/1,598.27 = 517.68/x
3. Step 3: Cross multiply
   1,066.32x = 1,598.27 × 517.68
4. Step 4: Simplify right side
   1,066.32x = 827,389.83
5. Step 5: Solve for x
   x = 827,389.83/1,066.32
6. Step 6: Final answer
   x = 775.93