Finding the Fourth Proportional to 1,199.37, 1,800.27 and 766.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.37 : 1,800.27 = 766.83 : x
2. Step 2: Convert to fraction form
   1,199.37/1,800.27 = 766.83/x
3. Step 3: Cross multiply
   1,199.37x = 1,800.27 × 766.83
4. Step 4: Simplify right side
   1,199.37x = 1,380,501.04
5. Step 5: Solve for x
   x = 1,380,501.04/1,199.37
6. Step 6: Final answer
   x = 1,151.02