Finding the Fourth Proportional to 1,096.50, 1,642.56 and 547.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.50 : 1,642.56 = 547.02 : x
2. Step 2: Convert to fraction form
   1,096.50/1,642.56 = 547.02/x
3. Step 3: Cross multiply
   1,096.50x = 1,642.56 × 547.02
4. Step 4: Simplify right side
   1,096.50x = 898,513.17
5. Step 5: Solve for x
   x = 898,513.17/1,096.50
6. Step 6: Final answer
   x = 819.44