Finding the Fourth Proportional to 1,182.54, 1,772.76 and 596.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.54 : 1,772.76 = 596.78 : x
2. Step 2: Convert to fraction form
   1,182.54/1,772.76 = 596.78/x
3. Step 3: Cross multiply
   1,182.54x = 1,772.76 × 596.78
4. Step 4: Simplify right side
   1,182.54x = 1,057,947.71
5. Step 5: Solve for x
   x = 1,057,947.71/1,182.54
6. Step 6: Final answer
   x = 894.64