Finding the Fourth Proportional to 1,200.37, 1,801.77 and 767.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.37 : 1,801.77 = 767.83 : x
2. Step 2: Convert to fraction form
   1,200.37/1,801.77 = 767.83/x
3. Step 3: Cross multiply
   1,200.37x = 1,801.77 × 767.83
4. Step 4: Simplify right side
   1,200.37x = 1,383,453.06
5. Step 5: Solve for x
   x = 1,383,453.06/1,200.37
6. Step 6: Final answer
   x = 1,152.52