Finding the Fourth Proportional to 1,827.52, 2,738.56 and 731.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.52 : 2,738.56 = 731.60 : x
2. Step 2: Convert to fraction form
   1,827.52/2,738.56 = 731.60/x
3. Step 3: Cross multiply
   1,827.52x = 2,738.56 × 731.60
4. Step 4: Simplify right side
   1,827.52x = 2,003,530.50
5. Step 5: Solve for x
   x = 2,003,530.50/1,827.52
6. Step 6: Final answer
   x = 1,096.31