Finding the Fourth Proportional to 1,206.31, 1,665.27 and 764.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.31 : 1,665.27 = 764.82 : x
2. Step 2: Convert to fraction form
   1,206.31/1,665.27 = 764.82/x
3. Step 3: Cross multiply
   1,206.31x = 1,665.27 × 764.82
4. Step 4: Simplify right side
   1,206.31x = 1,273,631.80
5. Step 5: Solve for x
   x = 1,273,631.80/1,206.31
6. Step 6: Final answer
   x = 1,055.81