Finding the Fourth Proportional to 1,200.69, 1,799.10 and 506.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.69 : 1,799.10 = 506.79 : x
2. Step 2: Convert to fraction form
   1,200.69/1,799.10 = 506.79/x
3. Step 3: Cross multiply
   1,200.69x = 1,799.10 × 506.79
4. Step 4: Simplify right side
   1,200.69x = 911,765.89
5. Step 5: Solve for x
   x = 911,765.89/1,200.69
6. Step 6: Final answer
   x = 759.37