Finding the Fourth Proportional to 1,166.55, 1,748.71 and 820.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.55 : 1,748.71 = 820.68 : x
2. Step 2: Convert to fraction form
   1,166.55/1,748.71 = 820.68/x
3. Step 3: Cross multiply
   1,166.55x = 1,748.71 × 820.68
4. Step 4: Simplify right side
   1,166.55x = 1,435,131.32
5. Step 5: Solve for x
   x = 1,435,131.32/1,166.55
6. Step 6: Final answer
   x = 1,230.24