Finding the Fourth Proportional to 1,075.27, 1,610.75 and 642.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.27 : 1,610.75 = 642.19 : x
2. Step 2: Convert to fraction form
   1,075.27/1,610.75 = 642.19/x
3. Step 3: Cross multiply
   1,075.27x = 1,610.75 × 642.19
4. Step 4: Simplify right side
   1,075.27x = 1,034,404.33
5. Step 5: Solve for x
   x = 1,034,404.33/1,075.27
6. Step 6: Final answer
   x = 961.99