Finding the Fourth Proportional to 1,096.34, 1,643.29 and 547.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.34 : 1,643.29 = 547.76 : x
2. Step 2: Convert to fraction form
   1,096.34/1,643.29 = 547.76/x
3. Step 3: Cross multiply
   1,096.34x = 1,643.29 × 547.76
4. Step 4: Simplify right side
   1,096.34x = 900,131.27
5. Step 5: Solve for x
   x = 900,131.27/1,096.34
6. Step 6: Final answer
   x = 821.04