Finding the Fourth Proportional to 1,075.78, 1,484.89 and 633.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.78 : 1,484.89 = 633.82 : x
2. Step 2: Convert to fraction form
   1,075.78/1,484.89 = 633.82/x
3. Step 3: Cross multiply
   1,075.78x = 1,484.89 × 633.82
4. Step 4: Simplify right side
   1,075.78x = 941,149.54
5. Step 5: Solve for x
   x = 941,149.54/1,075.78
6. Step 6: Final answer
   x = 874.86