Finding the Fourth Proportional to 1,200.88, 1,799.94 and 506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.88 : 1,799.94 = 506.50 : x
2. Step 2: Convert to fraction form
   1,200.88/1,799.94 = 506.50/x
3. Step 3: Cross multiply
   1,200.88x = 1,799.94 × 506.50
4. Step 4: Simplify right side
   1,200.88x = 911,669.61
5. Step 5: Solve for x
   x = 911,669.61/1,200.88
6. Step 6: Final answer
   x = 759.17