Finding the Fourth Proportional to 1,001.52, 1,382.10 and 559.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.52 : 1,382.10 = 559.42 : x
2. Step 2: Convert to fraction form
   1,001.52/1,382.10 = 559.42/x
3. Step 3: Cross multiply
   1,001.52x = 1,382.10 × 559.42
4. Step 4: Simplify right side
   1,001.52x = 773,174.38
5. Step 5: Solve for x
   x = 773,174.38/1,001.52
6. Step 6: Final answer
   x = 772.00