Finding the Fourth Proportional to 1,344.52, 1,855.20 and 820.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.52 : 1,855.20 = 820.72 : x
2. Step 2: Convert to fraction form
   1,344.52/1,855.20 = 820.72/x
3. Step 3: Cross multiply
   1,344.52x = 1,855.20 × 820.72
4. Step 4: Simplify right side
   1,344.52x = 1,522,599.74
5. Step 5: Solve for x
   x = 1,522,599.74/1,344.52
6. Step 6: Final answer
   x = 1,132.45