Finding the Fourth Proportional to 1,193.82, 1,648.40 and 752.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.82 : 1,648.40 = 752.78 : x
2. Step 2: Convert to fraction form
   1,193.82/1,648.40 = 752.78/x
3. Step 3: Cross multiply
   1,193.82x = 1,648.40 × 752.78
4. Step 4: Simplify right side
   1,193.82x = 1,240,870.55
5. Step 5: Solve for x
   x = 1,240,870.55/1,193.82
6. Step 6: Final answer
   x = 1,039.41