Finding the Fourth Proportional to 1,147.37, 1,721.59 and 820.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.37 : 1,721.59 = 820.42 : x
2. Step 2: Convert to fraction form
   1,147.37/1,721.59 = 820.42/x
3. Step 3: Cross multiply
   1,147.37x = 1,721.59 × 820.42
4. Step 4: Simplify right side
   1,147.37x = 1,412,422.77
5. Step 5: Solve for x
   x = 1,412,422.77/1,147.37
6. Step 6: Final answer
   x = 1,231.01