Finding the Fourth Proportional to 1,165.50, 1,746.83 and 548.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.50 : 1,746.83 = 548.39 : x
2. Step 2: Convert to fraction form
   1,165.50/1,746.83 = 548.39/x
3. Step 3: Cross multiply
   1,165.50x = 1,746.83 × 548.39
4. Step 4: Simplify right side
   1,165.50x = 957,932.63
5. Step 5: Solve for x
   x = 957,932.63/1,165.50
6. Step 6: Final answer
   x = 821.91