Finding the Fourth Proportional to 1,182.72, 1,632.05 and 658.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.72 : 1,632.05 = 658.78 : x
2. Step 2: Convert to fraction form
   1,182.72/1,632.05 = 658.78/x
3. Step 3: Cross multiply
   1,182.72x = 1,632.05 × 658.78
4. Step 4: Simplify right side
   1,182.72x = 1,075,161.90
5. Step 5: Solve for x
   x = 1,075,161.90/1,182.72
6. Step 6: Final answer
   x = 909.06