Finding the Fourth Proportional to 1,001.89, 1,382.56 and 559.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.89 : 1,382.56 = 559.80 : x
2. Step 2: Convert to fraction form
   1,001.89/1,382.56 = 559.80/x
3. Step 3: Cross multiply
   1,001.89x = 1,382.56 × 559.80
4. Step 4: Simplify right side
   1,001.89x = 773,957.09
5. Step 5: Solve for x
   x = 773,957.09/1,001.89
6. Step 6: Final answer
   x = 772.50