Finding the Fourth Proportional to 1,200.50, 1,799.41 and 506.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.50 : 1,799.41 = 506.96 : x
2. Step 2: Convert to fraction form
   1,200.50/1,799.41 = 506.96/x
3. Step 3: Cross multiply
   1,200.50x = 1,799.41 × 506.96
4. Step 4: Simplify right side
   1,200.50x = 912,228.89
5. Step 5: Solve for x
   x = 912,228.89/1,200.50
6. Step 6: Final answer
   x = 759.87