Finding the Fourth Proportional to 1,945.82, 2,918.43 and 775.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.82 : 2,918.43 = 775.98 : x
2. Step 2: Convert to fraction form
   1,945.82/2,918.43 = 775.98/x
3. Step 3: Cross multiply
   1,945.82x = 2,918.43 × 775.98
4. Step 4: Simplify right side
   1,945.82x = 2,264,643.31
5. Step 5: Solve for x
   x = 2,264,643.31/1,945.82
6. Step 6: Final answer
   x = 1,163.85