Finding the Fourth Proportional to 1,001.34, 1,382.04 and 559.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.34 : 1,382.04 = 559.38 : x
2. Step 2: Convert to fraction form
   1,001.34/1,382.04 = 559.38/x
3. Step 3: Cross multiply
   1,001.34x = 1,382.04 × 559.38
4. Step 4: Simplify right side
   1,001.34x = 773,085.54
5. Step 5: Solve for x
   x = 773,085.54/1,001.34
6. Step 6: Final answer
   x = 772.05