Finding the Fourth Proportional to 1,766.50, 2,650.17 and 533.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.50 : 2,650.17 = 533.83 : x
2. Step 2: Convert to fraction form
   1,766.50/2,650.17 = 533.83/x
3. Step 3: Cross multiply
   1,766.50x = 2,650.17 × 533.83
4. Step 4: Simplify right side
   1,766.50x = 1,414,740.25
5. Step 5: Solve for x
   x = 1,414,740.25/1,766.50
6. Step 6: Final answer
   x = 800.87