Finding the Fourth Proportional to 1,182.25, 1,772.71 and 488.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.25 : 1,772.71 = 488.15 : x
2. Step 2: Convert to fraction form
   1,182.25/1,772.71 = 488.15/x
3. Step 3: Cross multiply
   1,182.25x = 1,772.71 × 488.15
4. Step 4: Simplify right side
   1,182.25x = 865,341.63
5. Step 5: Solve for x
   x = 865,341.63/1,182.25
6. Step 6: Final answer
   x = 731.95