Finding the Fourth Proportional to 1,109.31, 1,662.76 and 546.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.31 : 1,662.76 = 546.83 : x
2. Step 2: Convert to fraction form
   1,109.31/1,662.76 = 546.83/x
3. Step 3: Cross multiply
   1,109.31x = 1,662.76 × 546.83
4. Step 4: Simplify right side
   1,109.31x = 909,252.08
5. Step 5: Solve for x
   x = 909,252.08/1,109.31
6. Step 6: Final answer
   x = 819.65