Finding the Fourth Proportional to 1,105.73, 1,658.56 and 520.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.73 : 1,658.56 = 520.59 : x
2. Step 2: Convert to fraction form
   1,105.73/1,658.56 = 520.59/x
3. Step 3: Cross multiply
   1,105.73x = 1,658.56 × 520.59
4. Step 4: Simplify right side
   1,105.73x = 863,429.75
5. Step 5: Solve for x
   x = 863,429.75/1,105.73
6. Step 6: Final answer
   x = 780.87