Finding the Fourth Proportional to 1,321.82, 1,983.42 and 775.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.82 : 1,983.42 = 775.06 : x
2. Step 2: Convert to fraction form
   1,321.82/1,983.42 = 775.06/x
3. Step 3: Cross multiply
   1,321.82x = 1,983.42 × 775.06
4. Step 4: Simplify right side
   1,321.82x = 1,537,269.51
5. Step 5: Solve for x
   x = 1,537,269.51/1,321.82
6. Step 6: Final answer
   x = 1,162.99