Finding the Fourth Proportional to 1,166.00, 1,746.47 and 548.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.00 : 1,746.47 = 548.78 : x
2. Step 2: Convert to fraction form
   1,166.00/1,746.47 = 548.78/x
3. Step 3: Cross multiply
   1,166.00x = 1,746.47 × 548.78
4. Step 4: Simplify right side
   1,166.00x = 958,419.07
5. Step 5: Solve for x
   x = 958,419.07/1,166.00
6. Step 6: Final answer
   x = 821.98