Finding the Fourth Proportional to 1,001.52, 1,382.16 and 559.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.52 : 1,382.16 = 559.48 : x
2. Step 2: Convert to fraction form
   1,001.52/1,382.16 = 559.48/x
3. Step 3: Cross multiply
   1,001.52x = 1,382.16 × 559.48
4. Step 4: Simplify right side
   1,001.52x = 773,290.88
5. Step 5: Solve for x
   x = 773,290.88/1,001.52
6. Step 6: Final answer
   x = 772.12