Finding the Fourth Proportional to 1,344.42, 1,855.33 and 820.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.42 : 1,855.33 = 820.13 : x
2. Step 2: Convert to fraction form
   1,344.42/1,855.33 = 820.13/x
3. Step 3: Cross multiply
   1,344.42x = 1,855.33 × 820.13
4. Step 4: Simplify right side
   1,344.42x = 1,521,600.47
5. Step 5: Solve for x
   x = 1,521,600.47/1,344.42
6. Step 6: Final answer
   x = 1,131.79